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Simplifying 3(y + 4) = -2(4y + 16) Reorder the terms: 3(4 + y) = -2(4y + 16) (4 * 3 + y * 3) = -2(4y + 16) (12 + 3y) = -2(4y + 16) Reorder the terms: 12 + 3y = -2(16 + 4y) 12 + 3y = (16 * -2 + 4y * -2) 12 + 3y = (-32 + -8y) Solving 12 + 3y = -32 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 12 + 3y + 8y = -32 + -8y + 8y Combine like terms: 3y + 8y = 11y 12 + 11y = -32 + -8y + 8y Combine like terms: -8y + 8y = 0 12 + 11y = -32 + 0 12 + 11y = -32 Add '-12' to each side of the equation. 12 + -12 + 11y = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 11y = -32 + -12 11y = -32 + -12 Combine like terms: -32 + -12 = -44 11y = -44 Divide each side by '11'. y = -4 Simplifying y = -4
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