Question

$1.2m + 7.5m + 2.1 = 63$
$9w - 16.3 = 5.3$
$\frac{2}{5} y - 6 = 2$
$\frac{7}{8} h - \frac{5}{8} = 2$
$0.7n - 1.5 + 7.3n = 14.5$
$14 = \frac{2}{3} (9y - 15)$

Explanation:

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Equation 1: $1.2m + 7.5m + 2.1 = 63$

Step1: Combine like terms

$8.7m + 2.1 = 63$

Step2: Subtract 2.1 from both sides

$8.7m = 63 - 2.1 = 60.9$

Step3: Divide by 8.7

$m = \frac{60.9}{8.7} = 7$

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Equation 2: $9w - 16.3 = 5.3$

Step1: Add 16.3 to both sides

$9w = 5.3 + 16.3 = 21.6$

Step2: Divide by 9

$w = \frac{21.6}{9} = 2.4$

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Equation 3: $\frac{2}{5}y - 6 = 2$

Step1: Add 6 to both sides

$\frac{2}{5}y = 2 + 6 = 8$

Step2: Multiply by $\frac{5}{2}$

$y = 8 \times \frac{5}{2} = 20$

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Equation 4: $\frac{7}{8}h - \frac{5}{8} = 2$

Step1: Add $\frac{5}{8}$ to both sides

$\frac{7}{8}h = 2 + \frac{5}{8} = \frac{16}{8} + \frac{5}{8} = \frac{21}{8}$

Step2: Multiply by $\frac{8}{7}$

$h = \frac{21}{8} \times \frac{8}{7} = 3$

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Equation 5: $0.7n - 1.5 + 7.3n = 14.5$

Step1: Combine like terms

$8n - 1.5 = 14.5$

Step2: Add 1.5 to both sides

$8n = 14.5 + 1.5 = 16$

Step3: Divide by 8

$n = \frac{16}{8} = 2$

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Equation 6: $14 = \frac{2}{3}(9y - 15)$

Step1: Multiply by $\frac{3}{2}$

$14 \times \frac{3}{2} = 9y - 15$
$21 = 9y - 15$

Step2: Add 15 to both sides

$9y = 21 + 15 = 36$

Step3: Divide by 9

$y = \frac{36}{9} = 4$

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Answer:

$m=7$, $w=2.4$, $y=20$, $h=3$, $n=2$, $y=4$