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Simplifying -32 = 3(y + -4) + -5y Reorder the terms: -32 = 3(-4 + y) + -5y -32 = (-4 * 3 + y * 3) + -5y -32 = (-12 + 3y) + -5y Combine like terms: 3y + -5y = -2y -32 = -12 + -2y Solving -32 = -12 + -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. -32 + 2y = -12 + -2y + 2y Combine like terms: -2y + 2y = 0 -32 + 2y = -12 + 0 -32 + 2y = -12 Add '32' to each side of the equation. -32 + 32 + 2y = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 2y = -12 + 32 2y = -12 + 32 Combine like terms: -12 + 32 = 20 2y = 20 Divide each side by '2'. y = 10 Simplifying y = 10
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