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Simplifying 6(y + -12) = 8 + -2y Reorder the terms: 6(-12 + y) = 8 + -2y (-12 * 6 + y * 6) = 8 + -2y (-72 + 6y) = 8 + -2y Solving -72 + 6y = 8 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -72 + 6y + 2y = 8 + -2y + 2y Combine like terms: 6y + 2y = 8y -72 + 8y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 -72 + 8y = 8 + 0 -72 + 8y = 8 Add '72' to each side of the equation. -72 + 72 + 8y = 8 + 72 Combine like terms: -72 + 72 = 0 0 + 8y = 8 + 72 8y = 8 + 72 Combine like terms: 8 + 72 = 80 8y = 80 Divide each side by '8'. y = 10 Simplifying y = 10
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