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Simplifying -4y + -12 = -2(y + 1) Reorder the terms: -12 + -4y = -2(y + 1) Reorder the terms: -12 + -4y = -2(1 + y) -12 + -4y = (1 * -2 + y * -2) -12 + -4y = (-2 + -2y) Solving -12 + -4y = -2 + -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 + -4y + 2y = -2 + -2y + 2y Combine like terms: -4y + 2y = -2y -12 + -2y = -2 + -2y + 2y Combine like terms: -2y + 2y = 0 -12 + -2y = -2 + 0 -12 + -2y = -2 Add '12' to each side of the equation. -12 + 12 + -2y = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -2y = -2 + 12 -2y = -2 + 12 Combine like terms: -2 + 12 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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