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Simplifying 6(y + 2) = 3(y + -4) Reorder the terms: 6(2 + y) = 3(y + -4) (2 * 6 + y * 6) = 3(y + -4) (12 + 6y) = 3(y + -4) Reorder the terms: 12 + 6y = 3(-4 + y) 12 + 6y = (-4 * 3 + y * 3) 12 + 6y = (-12 + 3y) Solving 12 + 6y = -12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 12 + 6y + -3y = -12 + 3y + -3y Combine like terms: 6y + -3y = 3y 12 + 3y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 12 + 3y = -12 + 0 12 + 3y = -12 Add '-12' to each side of the equation. 12 + -12 + 3y = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = -12 + -12 3y = -12 + -12 Combine like terms: -12 + -12 = -24 3y = -24 Divide each side by '3'. y = -8 Simplifying y = -8
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