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Simplifying -4y + 8 = 4(2y + -2) + -2(-16y + 8y) Reorder the terms: 8 + -4y = 4(2y + -2) + -2(-16y + 8y) Reorder the terms: 8 + -4y = 4(-2 + 2y) + -2(-16y + 8y) 8 + -4y = (-2 * 4 + 2y * 4) + -2(-16y + 8y) 8 + -4y = (-8 + 8y) + -2(-16y + 8y) Combine like terms: -16y + 8y = -8y 8 + -4y = -8 + 8y + -2(-8y) Remove parenthesis around (-8y) 8 + -4y = -8 + 8y + -2 * -8y Multiply -2 * -8 8 + -4y = -8 + 8y + 16y Combine like terms: 8y + 16y = 24y 8 + -4y = -8 + 24y Solving 8 + -4y = -8 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 8 + -4y + -24y = -8 + 24y + -24y Combine like terms: -4y + -24y = -28y 8 + -28y = -8 + 24y + -24y Combine like terms: 24y + -24y = 0 8 + -28y = -8 + 0 8 + -28y = -8 Add '-8' to each side of the equation. 8 + -8 + -28y = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -28y = -8 + -8 -28y = -8 + -8 Combine like terms: -8 + -8 = -16 -28y = -16 Divide each side by '-28'. y = 0.5714285714 Simplifying y = 0.5714285714
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