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Simplifying 4(y + 2) = 5(y + -8) Reorder the terms: 4(2 + y) = 5(y + -8) (2 * 4 + y * 4) = 5(y + -8) (8 + 4y) = 5(y + -8) Reorder the terms: 8 + 4y = 5(-8 + y) 8 + 4y = (-8 * 5 + y * 5) 8 + 4y = (-40 + 5y) Solving 8 + 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. 8 + 4y + -5y = -40 + 5y + -5y Combine like terms: 4y + -5y = -1y 8 + -1y = -40 + 5y + -5y Combine like terms: 5y + -5y = 0 8 + -1y = -40 + 0 8 + -1y = -40 Add '-8' to each side of the equation. 8 + -8 + -1y = -40 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = -40 + -8 -1y = -40 + -8 Combine like terms: -40 + -8 = -48 -1y = -48 Divide each side by '-1'. y = 48 Simplifying y = 48
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