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Simplifying 3(y + 4) = -2(y + 6) Reorder the terms: 3(4 + y) = -2(y + 6) (4 * 3 + y * 3) = -2(y + 6) (12 + 3y) = -2(y + 6) Reorder the terms: 12 + 3y = -2(6 + y) 12 + 3y = (6 * -2 + y * -2) 12 + 3y = (-12 + -2y) Solving 12 + 3y = -12 + -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 + 3y + 2y = -12 + -2y + 2y Combine like terms: 3y + 2y = 5y 12 + 5y = -12 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + 5y = -12 + 0 12 + 5y = -12 Add '-12' to each side of the equation. 12 + -12 + 5y = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 5y = -12 + -12 5y = -12 + -12 Combine like terms: -12 + -12 = -24 5y = -24 Divide each side by '5'. y = -4.8 Simplifying y = -4.8
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