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Simplifying 32 = 4y + 8(y + -8) Reorder the terms: 32 = 4y + 8(-8 + y) 32 = 4y + (-8 * 8 + y * 8) 32 = 4y + (-64 + 8y) Reorder the terms: 32 = -64 + 4y + 8y Combine like terms: 4y + 8y = 12y 32 = -64 + 12y Solving 32 = -64 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 32 + -12y = -64 + 12y + -12y Combine like terms: 12y + -12y = 0 32 + -12y = -64 + 0 32 + -12y = -64 Add '-32' to each side of the equation. 32 + -32 + -12y = -64 + -32 Combine like terms: 32 + -32 = 0 0 + -12y = -64 + -32 -12y = -64 + -32 Combine like terms: -64 + -32 = -96 -12y = -96 Divide each side by '-12'. y = 8 Simplifying y = 8
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