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Simplifying 4(y + -6) = 5(y + 8) Reorder the terms: 4(-6 + y) = 5(y + 8) (-6 * 4 + y * 4) = 5(y + 8) (-24 + 4y) = 5(y + 8) Reorder the terms: -24 + 4y = 5(8 + y) -24 + 4y = (8 * 5 + y * 5) -24 + 4y = (40 + 5y) Solving -24 + 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. -24 + 4y + -5y = 40 + 5y + -5y Combine like terms: 4y + -5y = -1y -24 + -1y = 40 + 5y + -5y Combine like terms: 5y + -5y = 0 -24 + -1y = 40 + 0 -24 + -1y = 40 Add '24' to each side of the equation. -24 + 24 + -1y = 40 + 24 Combine like terms: -24 + 24 = 0 0 + -1y = 40 + 24 -1y = 40 + 24 Combine like terms: 40 + 24 = 64 -1y = 64 Divide each side by '-1'. y = -64 Simplifying y = -64
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