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Simplifying 8 = 8y + -4(y + 8) Reorder the terms: 8 = 8y + -4(8 + y) 8 = 8y + (8 * -4 + y * -4) 8 = 8y + (-32 + -4y) Reorder the terms: 8 = -32 + 8y + -4y Combine like terms: 8y + -4y = 4y 8 = -32 + 4y Solving 8 = -32 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 8 + -4y = -32 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + -4y = -32 + 0 8 + -4y = -32 Add '-8' to each side of the equation. 8 + -8 + -4y = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -4y = -32 + -8 -4y = -32 + -8 Combine like terms: -32 + -8 = -40 -4y = -40 Divide each side by '-4'. y = 10 Simplifying y = 10
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