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Simplifying 4(2y + 4) = 8 + -2(y + -4) Reorder the terms: 4(4 + 2y) = 8 + -2(y + -4) (4 * 4 + 2y * 4) = 8 + -2(y + -4) (16 + 8y) = 8 + -2(y + -4) Reorder the terms: 16 + 8y = 8 + -2(-4 + y) 16 + 8y = 8 + (-4 * -2 + y * -2) 16 + 8y = 8 + (8 + -2y) Combine like terms: 8 + 8 = 16 16 + 8y = 16 + -2y Add '-16' to each side of the equation. 16 + -16 + 8y = 16 + -16 + -2y Combine like terms: 16 + -16 = 0 0 + 8y = 16 + -16 + -2y 8y = 16 + -16 + -2y Combine like terms: 16 + -16 = 0 8y = 0 + -2y 8y = -2y Solving 8y = -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. 8y + 2y = -2y + 2y Combine like terms: 8y + 2y = 10y 10y = -2y + 2y Combine like terms: -2y + 2y = 0 10y = 0 Divide each side by '10'. y = 0.0 Simplifying y = 0.0
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