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Simplifying -4(y + -5) = 7 + -3y Reorder the terms: -4(-5 + y) = 7 + -3y (-5 * -4 + y * -4) = 7 + -3y (20 + -4y) = 7 + -3y Solving 20 + -4y = 7 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 20 + -4y + 3y = 7 + -3y + 3y Combine like terms: -4y + 3y = -1y 20 + -1y = 7 + -3y + 3y Combine like terms: -3y + 3y = 0 20 + -1y = 7 + 0 20 + -1y = 7 Add '-20' to each side of the equation. 20 + -20 + -1y = 7 + -20 Combine like terms: 20 + -20 = 0 0 + -1y = 7 + -20 -1y = 7 + -20 Combine like terms: 7 + -20 = -13 -1y = -13 Divide each side by '-1'. y = 13 Simplifying y = 13
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