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Simplifying 5(3y + -3) + 2y = 9y + -27 Reorder the terms: 5(-3 + 3y) + 2y = 9y + -27 (-3 * 5 + 3y * 5) + 2y = 9y + -27 (-15 + 15y) + 2y = 9y + -27 Combine like terms: 15y + 2y = 17y -15 + 17y = 9y + -27 Reorder the terms: -15 + 17y = -27 + 9y Solving -15 + 17y = -27 + 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. -15 + 17y + -9y = -27 + 9y + -9y Combine like terms: 17y + -9y = 8y -15 + 8y = -27 + 9y + -9y Combine like terms: 9y + -9y = 0 -15 + 8y = -27 + 0 -15 + 8y = -27 Add '15' to each side of the equation. -15 + 15 + 8y = -27 + 15 Combine like terms: -15 + 15 = 0 0 + 8y = -27 + 15 8y = -27 + 15 Combine like terms: -27 + 15 = -12 8y = -12 Divide each side by '8'. y = -1.5 Simplifying y = -1.5
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