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