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Simplifying -3y + -32 = 6y + 13 Reorder the terms: -32 + -3y = 6y + 13 Reorder the terms: -32 + -3y = 13 + 6y Solving -32 + -3y = 13 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -32 + -3y + -6y = 13 + 6y + -6y Combine like terms: -3y + -6y = -9y -32 + -9y = 13 + 6y + -6y Combine like terms: 6y + -6y = 0 -32 + -9y = 13 + 0 -32 + -9y = 13 Add '32' to each side of the equation. -32 + 32 + -9y = 13 + 32 Combine like terms: -32 + 32 = 0 0 + -9y = 13 + 32 -9y = 13 + 32 Combine like terms: 13 + 32 = 45 -9y = 45 Divide each side by '-9'. y = -5 Simplifying y = -5
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