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Simplifying 4(y + 6) = 5(y + -4) Reorder the terms: 4(6 + y) = 5(y + -4) (6 * 4 + y * 4) = 5(y + -4) (24 + 4y) = 5(y + -4) Reorder the terms: 24 + 4y = 5(-4 + y) 24 + 4y = (-4 * 5 + y * 5) 24 + 4y = (-20 + 5y) Solving 24 + 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. 24 + 4y + -5y = -20 + 5y + -5y Combine like terms: 4y + -5y = -1y 24 + -1y = -20 + 5y + -5y Combine like terms: 5y + -5y = 0 24 + -1y = -20 + 0 24 + -1y = -20 Add '-24' to each side of the equation. 24 + -24 + -1y = -20 + -24 Combine like terms: 24 + -24 = 0 0 + -1y = -20 + -24 -1y = -20 + -24 Combine like terms: -20 + -24 = -44 -1y = -44 Divide each side by '-1'. y = 44 Simplifying y = 44
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