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Simplifying -8(y + 4) = 9y + -49 Reorder the terms: -8(4 + y) = 9y + -49 (4 * -8 + y * -8) = 9y + -49 (-32 + -8y) = 9y + -49 Reorder the terms: -32 + -8y = -49 + 9y Solving -32 + -8y = -49 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -32 + -8y + -9y = -49 + 9y + -9y Combine like terms: -8y + -9y = -17y -32 + -17y = -49 + 9y + -9y Combine like terms: 9y + -9y = 0 -32 + -17y = -49 + 0 -32 + -17y = -49 Add '32' to each side of the equation. -32 + 32 + -17y = -49 + 32 Combine like terms: -32 + 32 = 0 0 + -17y = -49 + 32 -17y = -49 + 32 Combine like terms: -49 + 32 = -17 -17y = -17 Divide each side by '-17'. y = 1 Simplifying y = 1
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