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Simplifying -5y + 9 = -4(2y + 2) Reorder the terms: 9 + -5y = -4(2y + 2) Reorder the terms: 9 + -5y = -4(2 + 2y) 9 + -5y = (2 * -4 + 2y * -4) 9 + -5y = (-8 + -8y) Solving 9 + -5y = -8 + -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. 9 + -5y + 8y = -8 + -8y + 8y Combine like terms: -5y + 8y = 3y 9 + 3y = -8 + -8y + 8y Combine like terms: -8y + 8y = 0 9 + 3y = -8 + 0 9 + 3y = -8 Add '-9' to each side of the equation. 9 + -9 + 3y = -8 + -9 Combine like terms: 9 + -9 = 0 0 + 3y = -8 + -9 3y = -8 + -9 Combine like terms: -8 + -9 = -17 3y = -17 Divide each side by '3'. y = -5.666666667 Simplifying y = -5.666666667
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