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Simplifying 4(y + 2) = 5(y + -4) Reorder the terms: 4(2 + y) = 5(y + -4) (2 * 4 + y * 4) = 5(y + -4) (8 + 4y) = 5(y + -4) Reorder the terms: 8 + 4y = 5(-4 + y) 8 + 4y = (-4 * 5 + y * 5) 8 + 4y = (-20 + 5y) Solving 8 + 4y = -20 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 8 + 4y + -5y = -20 + 5y + -5y Combine like terms: 4y + -5y = -1y 8 + -1y = -20 + 5y + -5y Combine like terms: 5y + -5y = 0 8 + -1y = -20 + 0 8 + -1y = -20 Add '-8' to each side of the equation. 8 + -8 + -1y = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = -20 + -8 -1y = -20 + -8 Combine like terms: -20 + -8 = -28 -1y = -28 Divide each side by '-1'. y = 28 Simplifying y = 28
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