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Simplifying 4(y + 6) = 5(y + -7) Reorder the terms: 4(6 + y) = 5(y + -7) (6 * 4 + y * 4) = 5(y + -7) (24 + 4y) = 5(y + -7) Reorder the terms: 24 + 4y = 5(-7 + y) 24 + 4y = (-7 * 5 + y * 5) 24 + 4y = (-35 + 5y) Solving 24 + 4y = -35 + 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. 24 + 4y + -5y = -35 + 5y + -5y Combine like terms: 4y + -5y = -1y 24 + -1y = -35 + 5y + -5y Combine like terms: 5y + -5y = 0 24 + -1y = -35 + 0 24 + -1y = -35 Add '-24' to each side of the equation. 24 + -24 + -1y = -35 + -24 Combine like terms: 24 + -24 = 0 0 + -1y = -35 + -24 -1y = -35 + -24 Combine like terms: -35 + -24 = -59 -1y = -59 Divide each side by '-1'. y = 59 Simplifying y = 59
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