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Simplifying -4(y + -6) = 2y + -12 Reorder the terms: -4(-6 + y) = 2y + -12 (-6 * -4 + y * -4) = 2y + -12 (24 + -4y) = 2y + -12 Reorder the terms: 24 + -4y = -12 + 2y Solving 24 + -4y = -12 + 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. 24 + -4y + -2y = -12 + 2y + -2y Combine like terms: -4y + -2y = -6y 24 + -6y = -12 + 2y + -2y Combine like terms: 2y + -2y = 0 24 + -6y = -12 + 0 24 + -6y = -12 Add '-24' to each side of the equation. 24 + -24 + -6y = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -6y = -12 + -24 -6y = -12 + -24 Combine like terms: -12 + -24 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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