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Simplifying -4y * 8 = 4(2y + -2) + -2(-16 + 8y) Reorder the terms for easier multiplication: -4 * 8y = 4(2y + -2) + -2(-16 + 8y) Multiply -4 * 8 -32y = 4(2y + -2) + -2(-16 + 8y) Reorder the terms: -32y = 4(-2 + 2y) + -2(-16 + 8y) -32y = (-2 * 4 + 2y * 4) + -2(-16 + 8y) -32y = (-8 + 8y) + -2(-16 + 8y) -32y = -8 + 8y + (-16 * -2 + 8y * -2) -32y = -8 + 8y + (32 + -16y) Reorder the terms: -32y = -8 + 32 + 8y + -16y Combine like terms: -8 + 32 = 24 -32y = 24 + 8y + -16y Combine like terms: 8y + -16y = -8y -32y = 24 + -8y Solving -32y = 24 + -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. -32y + 8y = 24 + -8y + 8y Combine like terms: -32y + 8y = -24y -24y = 24 + -8y + 8y Combine like terms: -8y + 8y = 0 -24y = 24 + 0 -24y = 24 Divide each side by '-24'. y = -1 Simplifying y = -1
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