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Simplifying 4(y + 7) = 5(y + -8) Reorder the terms: 4(7 + y) = 5(y + -8) (7 * 4 + y * 4) = 5(y + -8) (28 + 4y) = 5(y + -8) Reorder the terms: 28 + 4y = 5(-8 + y) 28 + 4y = (-8 * 5 + y * 5) 28 + 4y = (-40 + 5y) Solving 28 + 4y = -40 + 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 = -40 + 5y + -5y Combine like terms: 4y + -5y = -1y 28 + -1y = -40 + 5y + -5y Combine like terms: 5y + -5y = 0 28 + -1y = -40 + 0 28 + -1y = -40 Add '-28' to each side of the equation. 28 + -28 + -1y = -40 + -28 Combine like terms: 28 + -28 = 0 0 + -1y = -40 + -28 -1y = -40 + -28 Combine like terms: -40 + -28 = -68 -1y = -68 Divide each side by '-1'. y = 68 Simplifying y = 68
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