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Simplifying 2(16y + 12) = 4(-16 + -3y) Reorder the terms: 2(12 + 16y) = 4(-16 + -3y) (12 * 2 + 16y * 2) = 4(-16 + -3y) (24 + 32y) = 4(-16 + -3y) 24 + 32y = (-16 * 4 + -3y * 4) 24 + 32y = (-64 + -12y) Solving 24 + 32y = -64 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 24 + 32y + 12y = -64 + -12y + 12y Combine like terms: 32y + 12y = 44y 24 + 44y = -64 + -12y + 12y Combine like terms: -12y + 12y = 0 24 + 44y = -64 + 0 24 + 44y = -64 Add '-24' to each side of the equation. 24 + -24 + 44y = -64 + -24 Combine like terms: 24 + -24 = 0 0 + 44y = -64 + -24 44y = -64 + -24 Combine like terms: -64 + -24 = -88 44y = -88 Divide each side by '44'. y = -2 Simplifying y = -2
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