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Simplifying -8(y + -3) = 9y + 41 Reorder the terms: -8(-3 + y) = 9y + 41 (-3 * -8 + y * -8) = 9y + 41 (24 + -8y) = 9y + 41 Reorder the terms: 24 + -8y = 41 + 9y Solving 24 + -8y = 41 + 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. 24 + -8y + -9y = 41 + 9y + -9y Combine like terms: -8y + -9y = -17y 24 + -17y = 41 + 9y + -9y Combine like terms: 9y + -9y = 0 24 + -17y = 41 + 0 24 + -17y = 41 Add '-24' to each side of the equation. 24 + -24 + -17y = 41 + -24 Combine like terms: 24 + -24 = 0 0 + -17y = 41 + -24 -17y = 41 + -24 Combine like terms: 41 + -24 = 17 -17y = 17 Divide each side by '-17'. y = -1 Simplifying y = -1
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