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Simplifying 32 = 4(y + 6) Reorder the terms: 32 = 4(6 + y) 32 = (6 * 4 + y * 4) 32 = (24 + 4y) Solving 32 = 24 + 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. 32 + -4y = 24 + 4y + -4y Combine like terms: 4y + -4y = 0 32 + -4y = 24 + 0 32 + -4y = 24 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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