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Simplifying -8(y + -2) = -2y + -32 Reorder the terms: -8(-2 + y) = -2y + -32 (-2 * -8 + y * -8) = -2y + -32 (16 + -8y) = -2y + -32 Reorder the terms: 16 + -8y = -32 + -2y Solving 16 + -8y = -32 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 16 + -8y + 2y = -32 + -2y + 2y Combine like terms: -8y + 2y = -6y 16 + -6y = -32 + -2y + 2y Combine like terms: -2y + 2y = 0 16 + -6y = -32 + 0 16 + -6y = -32 Add '-16' to each side of the equation. 16 + -16 + -6y = -32 + -16 Combine like terms: 16 + -16 = 0 0 + -6y = -32 + -16 -6y = -32 + -16 Combine like terms: -32 + -16 = -48 -6y = -48 Divide each side by '-6'. y = 8 Simplifying y = 8
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