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Simplifying -8y + -15 + -20 = -2y + -1(y + -5) Reorder the terms: -15 + -20 + -8y = -2y + -1(y + -5) Combine like terms: -15 + -20 = -35 -35 + -8y = -2y + -1(y + -5) Reorder the terms: -35 + -8y = -2y + -1(-5 + y) -35 + -8y = -2y + (-5 * -1 + y * -1) -35 + -8y = -2y + (5 + -1y) Reorder the terms: -35 + -8y = 5 + -2y + -1y Combine like terms: -2y + -1y = -3y -35 + -8y = 5 + -3y Solving -35 + -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. -35 + -8y + 3y = 5 + -3y + 3y Combine like terms: -8y + 3y = -5y -35 + -5y = 5 + -3y + 3y Combine like terms: -3y + 3y = 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 = 40 -5y = 40 Divide each side by '-5'. y = -8 Simplifying y = -8
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