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Simplifying 4(y + 7) = 5(y + -5) Reorder the terms: 4(7 + y) = 5(y + -5) (7 * 4 + y * 4) = 5(y + -5) (28 + 4y) = 5(y + -5) Reorder the terms: 28 + 4y = 5(-5 + y) 28 + 4y = (-5 * 5 + y * 5) 28 + 4y = (-25 + 5y) Solving 28 + 4y = -25 + 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. 28 + 4y + -5y = -25 + 5y + -5y Combine like terms: 4y + -5y = -1y 28 + -1y = -25 + 5y + -5y Combine like terms: 5y + -5y = 0 28 + -1y = -25 + 0 28 + -1y = -25 Add '-28' to each side of the equation. 28 + -28 + -1y = -25 + -28 Combine like terms: 28 + -28 = 0 0 + -1y = -25 + -28 -1y = -25 + -28 Combine like terms: -25 + -28 = -53 -1y = -53 Divide each side by '-1'. y = 53 Simplifying y = 53
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