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Simplifying -1(4y + -5) = 2(12 + -5y + -17) Reorder the terms: -1(-5 + 4y) = 2(12 + -5y + -17) (-5 * -1 + 4y * -1) = 2(12 + -5y + -17) (5 + -4y) = 2(12 + -5y + -17) Reorder the terms: 5 + -4y = 2(12 + -17 + -5y) Combine like terms: 12 + -17 = -5 5 + -4y = 2(-5 + -5y) 5 + -4y = (-5 * 2 + -5y * 2) 5 + -4y = (-10 + -10y) Solving 5 + -4y = -10 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 5 + -4y + 10y = -10 + -10y + 10y Combine like terms: -4y + 10y = 6y 5 + 6y = -10 + -10y + 10y Combine like terms: -10y + 10y = 0 5 + 6y = -10 + 0 5 + 6y = -10 Add '-5' to each side of the equation. 5 + -5 + 6y = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 6y = -10 + -5 6y = -10 + -5 Combine like terms: -10 + -5 = -15 6y = -15 Divide each side by '6'. y = -2.5 Simplifying y = -2.5
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