Question

linear equations
solving a linear equation with several occurrences of the variable....
solve for y.
-4y + 7 = -10y + 37
simplify your answer as much as possible.
y =

Explanation:

Step1: Add $10y$ to both sides

$-4y + 10y + 7 = -10y + 10y + 37$
$6y + 7 = 37$

Step2: Subtract 7 from both sides

$6y + 7 - 7 = 37 - 7$
$6y = 30$

Step3: Divide by 6 on both sides

$\frac{6y}{6} = \frac{30}{6}$
$y = 5$

Answer:

$y = 5$