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Simplifying 4y + -32 = -8(y + -8) Reorder the terms: -32 + 4y = -8(y + -8) Reorder the terms: -32 + 4y = -8(-8 + y) -32 + 4y = (-8 * -8 + y * -8) -32 + 4y = (64 + -8y) Solving -32 + 4y = 64 + -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 = 64 + -8y + 8y Combine like terms: 4y + 8y = 12y -32 + 12y = 64 + -8y + 8y Combine like terms: -8y + 8y = 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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