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Simplifying 8(y + -8) = 5(y + -4) Reorder the terms: 8(-8 + y) = 5(y + -4) (-8 * 8 + y * 8) = 5(y + -4) (-64 + 8y) = 5(y + -4) Reorder the terms: -64 + 8y = 5(-4 + y) -64 + 8y = (-4 * 5 + y * 5) -64 + 8y = (-20 + 5y) Solving -64 + 8y = -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. -64 + 8y + -5y = -20 + 5y + -5y Combine like terms: 8y + -5y = 3y -64 + 3y = -20 + 5y + -5y Combine like terms: 5y + -5y = 0 -64 + 3y = -20 + 0 -64 + 3y = -20 Add '64' to each side of the equation. -64 + 64 + 3y = -20 + 64 Combine like terms: -64 + 64 = 0 0 + 3y = -20 + 64 3y = -20 + 64 Combine like terms: -20 + 64 = 44 3y = 44 Divide each side by '3'. y = 14.66666667 Simplifying y = 14.66666667
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