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Simplifying -6y + 12 = -2(y + 2) Reorder the terms: 12 + -6y = -2(y + 2) Reorder the terms: 12 + -6y = -2(2 + y) 12 + -6y = (2 * -2 + y * -2) 12 + -6y = (-4 + -2y) Solving 12 + -6y = -4 + -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. 12 + -6y + 2y = -4 + -2y + 2y Combine like terms: -6y + 2y = -4y 12 + -4y = -4 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + -4y = -4 + 0 12 + -4y = -4 Add '-12' to each side of the equation. 12 + -12 + -4y = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -4y = -4 + -12 -4y = -4 + -12 Combine like terms: -4 + -12 = -16 -4y = -16 Divide each side by '-4'. y = 4 Simplifying y = 4
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