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Simplifying 3y + 12 = -1(y + 2) Reorder the terms: 12 + 3y = -1(y + 2) Reorder the terms: 12 + 3y = -1(2 + y) 12 + 3y = (2 * -1 + y * -1) 12 + 3y = (-2 + -1y) Solving 12 + 3y = -2 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 12 + 3y + y = -2 + -1y + y Combine like terms: 3y + y = 4y 12 + 4y = -2 + -1y + y Combine like terms: -1y + y = 0 12 + 4y = -2 + 0 12 + 4y = -2 Add '-12' to each side of the equation. 12 + -12 + 4y = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 4y = -2 + -12 4y = -2 + -12 Combine like terms: -2 + -12 = -14 4y = -14 Divide each side by '4'. y = -3.5 Simplifying y = -3.5
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