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Simplifying -9(y + -15) + -20 = -3y + -1(y + -5) Reorder the terms: -9(-15 + y) + -20 = -3y + -1(y + -5) (-15 * -9 + y * -9) + -20 = -3y + -1(y + -5) (135 + -9y) + -20 = -3y + -1(y + -5) Reorder the terms: 135 + -20 + -9y = -3y + -1(y + -5) Combine like terms: 135 + -20 = 115 115 + -9y = -3y + -1(y + -5) Reorder the terms: 115 + -9y = -3y + -1(-5 + y) 115 + -9y = -3y + (-5 * -1 + y * -1) 115 + -9y = -3y + (5 + -1y) Reorder the terms: 115 + -9y = 5 + -3y + -1y Combine like terms: -3y + -1y = -4y 115 + -9y = 5 + -4y Solving 115 + -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. 115 + -9y + 4y = 5 + -4y + 4y Combine like terms: -9y + 4y = -5y 115 + -5y = 5 + -4y + 4y Combine like terms: -4y + 4y = 0 115 + -5y = 5 + 0 115 + -5y = 5 Add '-115' to each side of the equation. 115 + -115 + -5y = 5 + -115 Combine like terms: 115 + -115 = 0 0 + -5y = 5 + -115 -5y = 5 + -115 Combine like terms: 5 + -115 = -110 -5y = -110 Divide each side by '-5'. y = 22 Simplifying y = 22
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