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Simplifying 5(y + -1) + -5 = -3(-8y + 5) + -9y Reorder the terms: 5(-1 + y) + -5 = -3(-8y + 5) + -9y (-1 * 5 + y * 5) + -5 = -3(-8y + 5) + -9y (-5 + 5y) + -5 = -3(-8y + 5) + -9y Reorder the terms: -5 + -5 + 5y = -3(-8y + 5) + -9y Combine like terms: -5 + -5 = -10 -10 + 5y = -3(-8y + 5) + -9y Reorder the terms: -10 + 5y = -3(5 + -8y) + -9y -10 + 5y = (5 * -3 + -8y * -3) + -9y -10 + 5y = (-15 + 24y) + -9y Combine like terms: 24y + -9y = 15y -10 + 5y = -15 + 15y Solving -10 + 5y = -15 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -10 + 5y + -15y = -15 + 15y + -15y Combine like terms: 5y + -15y = -10y -10 + -10y = -15 + 15y + -15y Combine like terms: 15y + -15y = 0 -10 + -10y = -15 + 0 -10 + -10y = -15 Add '10' to each side of the equation. -10 + 10 + -10y = -15 + 10 Combine like terms: -10 + 10 = 0 0 + -10y = -15 + 10 -10y = -15 + 10 Combine like terms: -15 + 10 = -5 -10y = -5 Divide each side by '-10'. y = 0.5 Simplifying y = 0.5
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