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Simplifying 5(3 + y) = 4(y + -5) (3 * 5 + y * 5) = 4(y + -5) (15 + 5y) = 4(y + -5) Reorder the terms: 15 + 5y = 4(-5 + y) 15 + 5y = (-5 * 4 + y * 4) 15 + 5y = (-20 + 4y) Solving 15 + 5y = -20 + 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. 15 + 5y + -4y = -20 + 4y + -4y Combine like terms: 5y + -4y = 1y 15 + 1y = -20 + 4y + -4y Combine like terms: 4y + -4y = 0 15 + 1y = -20 + 0 15 + 1y = -20 Add '-15' to each side of the equation. 15 + -15 + 1y = -20 + -15 Combine like terms: 15 + -15 = 0 0 + 1y = -20 + -15 1y = -20 + -15 Combine like terms: -20 + -15 = -35 1y = -35 Divide each side by '1'. y = -35 Simplifying y = -35
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