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Simplifying -2y + 12 = -6(y + -4) Reorder the terms: 12 + -2y = -6(y + -4) Reorder the terms: 12 + -2y = -6(-4 + y) 12 + -2y = (-4 * -6 + y * -6) 12 + -2y = (24 + -6y) Solving 12 + -2y = 24 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 12 + -2y + 6y = 24 + -6y + 6y Combine like terms: -2y + 6y = 4y 12 + 4y = 24 + -6y + 6y Combine like terms: -6y + 6y = 0 12 + 4y = 24 + 0 12 + 4y = 24 Add '-12' to each side of the equation. 12 + -12 + 4y = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 4y = 24 + -12 4y = 24 + -12 Combine like terms: 24 + -12 = 12 4y = 12 Divide each side by '4'. y = 3 Simplifying y = 3
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