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