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Simplifying -4y + 8 = 4(2y + -2) + -2(16 + 8y) Reorder the terms: 8 + -4y = 4(2y + -2) + -2(16 + 8y) Reorder the terms: 8 + -4y = 4(-2 + 2y) + -2(16 + 8y) 8 + -4y = (-2 * 4 + 2y * 4) + -2(16 + 8y) 8 + -4y = (-8 + 8y) + -2(16 + 8y) 8 + -4y = -8 + 8y + (16 * -2 + 8y * -2) 8 + -4y = -8 + 8y + (-32 + -16y) Reorder the terms: 8 + -4y = -8 + -32 + 8y + -16y Combine like terms: -8 + -32 = -40 8 + -4y = -40 + 8y + -16y Combine like terms: 8y + -16y = -8y 8 + -4y = -40 + -8y Solving 8 + -4y = -40 + -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. 8 + -4y + 8y = -40 + -8y + 8y Combine like terms: -4y + 8y = 4y 8 + 4y = -40 + -8y + 8y Combine like terms: -8y + 8y = 0 8 + 4y = -40 + 0 8 + 4y = -40 Add '-8' to each side of the equation. 8 + -8 + 4y = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 4y = -40 + -8 4y = -40 + -8 Combine like terms: -40 + -8 = -48 4y = -48 Divide each side by '4'. y = -12 Simplifying y = -12
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