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Simplifying -8(y + -15) + -20 = -2y + -1(y + -5) Reorder the terms: -8(-15 + y) + -20 = -2y + -1(y + -5) (-15 * -8 + y * -8) + -20 = -2y + -1(y + -5) (120 + -8y) + -20 = -2y + -1(y + -5) Reorder the terms: 120 + -20 + -8y = -2y + -1(y + -5) Combine like terms: 120 + -20 = 100 100 + -8y = -2y + -1(y + -5) Reorder the terms: 100 + -8y = -2y + -1(-5 + y) 100 + -8y = -2y + (-5 * -1 + y * -1) 100 + -8y = -2y + (5 + -1y) Reorder the terms: 100 + -8y = 5 + -2y + -1y Combine like terms: -2y + -1y = -3y 100 + -8y = 5 + -3y Solving 100 + -8y = 5 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 100 + -8y + 3y = 5 + -3y + 3y Combine like terms: -8y + 3y = -5y 100 + -5y = 5 + -3y + 3y Combine like terms: -3y + 3y = 0 100 + -5y = 5 + 0 100 + -5y = 5 Add '-100' to each side of the equation. 100 + -100 + -5y = 5 + -100 Combine like terms: 100 + -100 = 0 0 + -5y = 5 + -100 -5y = 5 + -100 Combine like terms: 5 + -100 = -95 -5y = -95 Divide each side by '-5'. y = 19 Simplifying y = 19
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