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Simplifying -8y + 32 = 8(y + -4) Reorder the terms: 32 + -8y = 8(y + -4) Reorder the terms: 32 + -8y = 8(-4 + y) 32 + -8y = (-4 * 8 + y * 8) 32 + -8y = (-32 + 8y) Solving 32 + -8y = -32 + 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 + -8y + -8y = -32 + 8y + -8y Combine like terms: -8y + -8y = -16y 32 + -16y = -32 + 8y + -8y Combine like terms: 8y + -8y = 0 32 + -16y = -32 + 0 32 + -16y = -32 Add '-32' to each side of the equation. 32 + -32 + -16y = -32 + -32 Combine like terms: 32 + -32 = 0 0 + -16y = -32 + -32 -16y = -32 + -32 Combine like terms: -32 + -32 = -64 -16y = -64 Divide each side by '-16'. y = 4 Simplifying y = 4
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