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Simplifying -6(y + 6) = -2y + -32 Reorder the terms: -6(6 + y) = -2y + -32 (6 * -6 + y * -6) = -2y + -32 (-36 + -6y) = -2y + -32 Reorder the terms: -36 + -6y = -32 + -2y Solving -36 + -6y = -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. -36 + -6y + 2y = -32 + -2y + 2y Combine like terms: -6y + 2y = -4y -36 + -4y = -32 + -2y + 2y Combine like terms: -2y + 2y = 0 -36 + -4y = -32 + 0 -36 + -4y = -32 Add '36' to each side of the equation. -36 + 36 + -4y = -32 + 36 Combine like terms: -36 + 36 = 0 0 + -4y = -32 + 36 -4y = -32 + 36 Combine like terms: -32 + 36 = 4 -4y = 4 Divide each side by '-4'. y = -1 Simplifying y = -1
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