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Simplifying 4(2y + 4) = 4 + -3(y + -4) Reorder the terms: 4(4 + 2y) = 4 + -3(y + -4) (4 * 4 + 2y * 4) = 4 + -3(y + -4) (16 + 8y) = 4 + -3(y + -4) Reorder the terms: 16 + 8y = 4 + -3(-4 + y) 16 + 8y = 4 + (-4 * -3 + y * -3) 16 + 8y = 4 + (12 + -3y) Combine like terms: 4 + 12 = 16 16 + 8y = 16 + -3y Add '-16' to each side of the equation. 16 + -16 + 8y = 16 + -16 + -3y Combine like terms: 16 + -16 = 0 0 + 8y = 16 + -16 + -3y 8y = 16 + -16 + -3y Combine like terms: 16 + -16 = 0 8y = 0 + -3y 8y = -3y Solving 8y = -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. 8y + 3y = -3y + 3y Combine like terms: 8y + 3y = 11y 11y = -3y + 3y Combine like terms: -3y + 3y = 0 11y = 0 Divide each side by '11'. y = 0 Simplifying y = 0
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