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Simplifying 5(y + -4) = -7y + -32 Reorder the terms: 5(-4 + y) = -7y + -32 (-4 * 5 + y * 5) = -7y + -32 (-20 + 5y) = -7y + -32 Reorder the terms: -20 + 5y = -32 + -7y Solving -20 + 5y = -32 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -20 + 5y + 7y = -32 + -7y + 7y Combine like terms: 5y + 7y = 12y -20 + 12y = -32 + -7y + 7y Combine like terms: -7y + 7y = 0 -20 + 12y = -32 + 0 -20 + 12y = -32 Add '20' to each side of the equation. -20 + 20 + 12y = -32 + 20 Combine like terms: -20 + 20 = 0 0 + 12y = -32 + 20 12y = -32 + 20 Combine like terms: -32 + 20 = -12 12y = -12 Divide each side by '12'. y = -1 Simplifying y = -1
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