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Simplifying 4(y + 8) = 8y + 4 Reorder the terms: 4(8 + y) = 8y + 4 (8 * 4 + y * 4) = 8y + 4 (32 + 4y) = 8y + 4 Reorder the terms: 32 + 4y = 4 + 8y Solving 32 + 4y = 4 + 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. 32 + 4y + -8y = 4 + 8y + -8y Combine like terms: 4y + -8y = -4y 32 + -4y = 4 + 8y + -8y Combine like terms: 8y + -8y = 0 32 + -4y = 4 + 0 32 + -4y = 4 Add '-32' to each side of the equation. 32 + -32 + -4y = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -4y = 4 + -32 -4y = 4 + -32 Combine like terms: 4 + -32 = -28 -4y = -28 Divide each side by '-4'. y = 7 Simplifying y = 7
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