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Simplifying 6(y + -4) = 2(4y + 12) Reorder the terms: 6(-4 + y) = 2(4y + 12) (-4 * 6 + y * 6) = 2(4y + 12) (-24 + 6y) = 2(4y + 12) Reorder the terms: -24 + 6y = 2(12 + 4y) -24 + 6y = (12 * 2 + 4y * 2) -24 + 6y = (24 + 8y) Solving -24 + 6y = 24 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -24 + 6y + -8y = 24 + 8y + -8y Combine like terms: 6y + -8y = -2y -24 + -2y = 24 + 8y + -8y Combine like terms: 8y + -8y = 0 -24 + -2y = 24 + 0 -24 + -2y = 24 Add '24' to each side of the equation. -24 + 24 + -2y = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -2y = 24 + 24 -2y = 24 + 24 Combine like terms: 24 + 24 = 48 -2y = 48 Divide each side by '-2'. y = -24 Simplifying y = -24
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