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Simplifying 6(y + -4) = 3(y + -8) Reorder the terms: 6(-4 + y) = 3(y + -8) (-4 * 6 + y * 6) = 3(y + -8) (-24 + 6y) = 3(y + -8) Reorder the terms: -24 + 6y = 3(-8 + y) -24 + 6y = (-8 * 3 + y * 3) -24 + 6y = (-24 + 3y) Add '24' to each side of the equation. -24 + 24 + 6y = -24 + 24 + 3y Combine like terms: -24 + 24 = 0 0 + 6y = -24 + 24 + 3y 6y = -24 + 24 + 3y Combine like terms: -24 + 24 = 0 6y = 0 + 3y 6y = 3y Solving 6y = 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 6y + -3y = 3y + -3y Combine like terms: 6y + -3y = 3y 3y = 3y + -3y Combine like terms: 3y + -3y = 0 3y = 0 Divide each side by '3'. y = 0 Simplifying y = 0
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