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Simplifying -8(y + 3) = 9y + 10 Reorder the terms: -8(3 + y) = 9y + 10 (3 * -8 + y * -8) = 9y + 10 (-24 + -8y) = 9y + 10 Reorder the terms: -24 + -8y = 10 + 9y Solving -24 + -8y = 10 + 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 = 10 + 9y + -9y Combine like terms: -8y + -9y = -17y -24 + -17y = 10 + 9y + -9y Combine like terms: 9y + -9y = 0 -24 + -17y = 10 + 0 -24 + -17y = 10 Add '24' to each side of the equation. -24 + 24 + -17y = 10 + 24 Combine like terms: -24 + 24 = 0 0 + -17y = 10 + 24 -17y = 10 + 24 Combine like terms: 10 + 24 = 34 -17y = 34 Divide each side by '-17'. y = -2 Simplifying y = -2
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