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Simplifying -9(y + -5) + -10 = -3y + -1(y + -5) Reorder the terms: -9(-5 + y) + -10 = -3y + -1(y + -5) (-5 * -9 + y * -9) + -10 = -3y + -1(y + -5) (45 + -9y) + -10 = -3y + -1(y + -5) Reorder the terms: 45 + -10 + -9y = -3y + -1(y + -5) Combine like terms: 45 + -10 = 35 35 + -9y = -3y + -1(y + -5) Reorder the terms: 35 + -9y = -3y + -1(-5 + y) 35 + -9y = -3y + (-5 * -1 + y * -1) 35 + -9y = -3y + (5 + -1y) Reorder the terms: 35 + -9y = 5 + -3y + -1y Combine like terms: -3y + -1y = -4y 35 + -9y = 5 + -4y Solving 35 + -9y = 5 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 35 + -9y + 4y = 5 + -4y + 4y Combine like terms: -9y + 4y = -5y 35 + -5y = 5 + -4y + 4y Combine like terms: -4y + 4y = 0 35 + -5y = 5 + 0 35 + -5y = 5 Add '-35' to each side of the equation. 35 + -35 + -5y = 5 + -35 Combine like terms: 35 + -35 = 0 0 + -5y = 5 + -35 -5y = 5 + -35 Combine like terms: 5 + -35 = -30 -5y = -30 Divide each side by '-5'. y = 6 Simplifying y = 6
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