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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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