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Simplifying 7(5 + -1y) = 5y + -13 (5 * 7 + -1y * 7) = 5y + -13 (35 + -7y) = 5y + -13 Reorder the terms: 35 + -7y = -13 + 5y Solving 35 + -7y = -13 + 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. 35 + -7y + -5y = -13 + 5y + -5y Combine like terms: -7y + -5y = -12y 35 + -12y = -13 + 5y + -5y Combine like terms: 5y + -5y = 0 35 + -12y = -13 + 0 35 + -12y = -13 Add '-35' to each side of the equation. 35 + -35 + -12y = -13 + -35 Combine like terms: 35 + -35 = 0 0 + -12y = -13 + -35 -12y = -13 + -35 Combine like terms: -13 + -35 = -48 -12y = -48 Divide each side by '-12'. y = 4 Simplifying y = 4
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