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