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Simplifying -9y + -2 = 8(y + 4) Reorder the terms: -2 + -9y = 8(y + 4) Reorder the terms: -2 + -9y = 8(4 + y) -2 + -9y = (4 * 8 + y * 8) -2 + -9y = (32 + 8y) Solving -2 + -9y = 32 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -2 + -9y + -8y = 32 + 8y + -8y Combine like terms: -9y + -8y = -17y -2 + -17y = 32 + 8y + -8y Combine like terms: 8y + -8y = 0 -2 + -17y = 32 + 0 -2 + -17y = 32 Add '2' to each side of the equation. -2 + 2 + -17y = 32 + 2 Combine like terms: -2 + 2 = 0 0 + -17y = 32 + 2 -17y = 32 + 2 Combine like terms: 32 + 2 = 34 -17y = 34 Divide each side by '-17'. y = -2 Simplifying y = -2
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