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Simplifying -4y + 8 = 4(2y + -2) + -1(16 + 8y) Reorder the terms: 8 + -4y = 4(2y + -2) + -1(16 + 8y) Reorder the terms: 8 + -4y = 4(-2 + 2y) + -1(16 + 8y) 8 + -4y = (-2 * 4 + 2y * 4) + -1(16 + 8y) 8 + -4y = (-8 + 8y) + -1(16 + 8y) 8 + -4y = -8 + 8y + (16 * -1 + 8y * -1) 8 + -4y = -8 + 8y + (-16 + -8y) Reorder the terms: 8 + -4y = -8 + -16 + 8y + -8y Combine like terms: -8 + -16 = -24 8 + -4y = -24 + 8y + -8y Combine like terms: 8y + -8y = 0 8 + -4y = -24 + 0 8 + -4y = -24 Solving 8 + -4y = -24 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -4y = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -4y = -24 + -8 -4y = -24 + -8 Combine like terms: -24 + -8 = -32 -4y = -32 Divide each side by '-4'. y = 8 Simplifying y = 8
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