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Simplifying 5(y + 4) = 6(y + -8) Reorder the terms: 5(4 + y) = 6(y + -8) (4 * 5 + y * 5) = 6(y + -8) (20 + 5y) = 6(y + -8) Reorder the terms: 20 + 5y = 6(-8 + y) 20 + 5y = (-8 * 6 + y * 6) 20 + 5y = (-48 + 6y) Solving 20 + 5y = -48 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 20 + 5y + -6y = -48 + 6y + -6y Combine like terms: 5y + -6y = -1y 20 + -1y = -48 + 6y + -6y Combine like terms: 6y + -6y = 0 20 + -1y = -48 + 0 20 + -1y = -48 Add '-20' to each side of the equation. 20 + -20 + -1y = -48 + -20 Combine like terms: 20 + -20 = 0 0 + -1y = -48 + -20 -1y = -48 + -20 Combine like terms: -48 + -20 = -68 -1y = -68 Divide each side by '-1'. y = 68 Simplifying y = 68
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