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Simplifying -4y + 8 = 4(2y + -2) + -2(-16 + 18y) Reorder the terms: 8 + -4y = 4(2y + -2) + -2(-16 + 18y) Reorder the terms: 8 + -4y = 4(-2 + 2y) + -2(-16 + 18y) 8 + -4y = (-2 * 4 + 2y * 4) + -2(-16 + 18y) 8 + -4y = (-8 + 8y) + -2(-16 + 18y) 8 + -4y = -8 + 8y + (-16 * -2 + 18y * -2) 8 + -4y = -8 + 8y + (32 + -36y) Reorder the terms: 8 + -4y = -8 + 32 + 8y + -36y Combine like terms: -8 + 32 = 24 8 + -4y = 24 + 8y + -36y Combine like terms: 8y + -36y = -28y 8 + -4y = 24 + -28y Solving 8 + -4y = 24 + -28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28y' to each side of the equation. 8 + -4y + 28y = 24 + -28y + 28y Combine like terms: -4y + 28y = 24y 8 + 24y = 24 + -28y + 28y Combine like terms: -28y + 28y = 0 8 + 24y = 24 + 0 8 + 24y = 24 Add '-8' to each side of the equation. 8 + -8 + 24y = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 24y = 24 + -8 24y = 24 + -8 Combine like terms: 24 + -8 = 16 24y = 16 Divide each side by '24'. y = 0.6666666667 Simplifying y = 0.6666666667
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