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Simplifying 4y + 12 = -2(y + 3) Reorder the terms: 12 + 4y = -2(y + 3) Reorder the terms: 12 + 4y = -2(3 + y) 12 + 4y = (3 * -2 + y * -2) 12 + 4y = (-6 + -2y) Solving 12 + 4y = -6 + -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 = -6 + -2y + 2y Combine like terms: 4y + 2y = 6y 12 + 6y = -6 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + 6y = -6 + 0 12 + 6y = -6 Add '-12' to each side of the equation. 12 + -12 + 6y = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 6y = -6 + -12 6y = -6 + -12 Combine like terms: -6 + -12 = -18 6y = -18 Divide each side by '6'. y = -3 Simplifying y = -3
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