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Simplifying -5(y + -7) = 13 + -4y Reorder the terms: -5(-7 + y) = 13 + -4y (-7 * -5 + y * -5) = 13 + -4y (35 + -5y) = 13 + -4y Solving 35 + -5y = 13 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 35 + -5y + 4y = 13 + -4y + 4y Combine like terms: -5y + 4y = -1y 35 + -1y = 13 + -4y + 4y Combine like terms: -4y + 4y = 0 35 + -1y = 13 + 0 35 + -1y = 13 Add '-35' to each side of the equation. 35 + -35 + -1y = 13 + -35 Combine like terms: 35 + -35 = 0 0 + -1y = 13 + -35 -1y = 13 + -35 Combine like terms: 13 + -35 = -22 -1y = -22 Divide each side by '-1'. y = 22 Simplifying y = 22
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