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Simplifying 8y + -32 = -9(y + -4) Reorder the terms: -32 + 8y = -9(y + -4) Reorder the terms: -32 + 8y = -9(-4 + y) -32 + 8y = (-4 * -9 + y * -9) -32 + 8y = (36 + -9y) Solving -32 + 8y = 36 + -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 = 36 + -9y + 9y Combine like terms: 8y + 9y = 17y -32 + 17y = 36 + -9y + 9y Combine like terms: -9y + 9y = 0 -32 + 17y = 36 + 0 -32 + 17y = 36 Add '32' to each side of the equation. -32 + 32 + 17y = 36 + 32 Combine like terms: -32 + 32 = 0 0 + 17y = 36 + 32 17y = 36 + 32 Combine like terms: 36 + 32 = 68 17y = 68 Divide each side by '17'. y = 4 Simplifying y = 4
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