Question

what is the solution to the equation?
y + 14.9 = 10.7
y = 4.2
y = -25.6
y = -4.2
y = 25.6

Explanation:

Step1: Isolate the variable y

To solve for \( y \) in the equation \( y + 14.9 = 10.7 \), we need to subtract 14.9 from both sides of the equation. This is based on the subtraction property of equality, which states that if we subtract the same number from both sides of an equation, the equation remains balanced.
\[
y + 14.9 - 14.9 = 10.7 - 14.9
\]

Step2: Simplify both sides

Simplifying the left side, \( y + 14.9 - 14.9 \) simplifies to \( y \). For the right side, we calculate \( 10.7 - 14.9 \). Since \( 14.9 - 10.7 = 4.2 \), and we are subtracting a larger number from a smaller number, the result will be negative. So, \( 10.7 - 14.9 = - 4.2 \).
\[
y = -4.2
\]

Answer:

\( y = -4.2 \) (corresponding to the option \( y = -4.2 \))