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Simplifying -5y + 7 = -2(y + -5) Reorder the terms: 7 + -5y = -2(y + -5) Reorder the terms: 7 + -5y = -2(-5 + y) 7 + -5y = (-5 * -2 + y * -2) 7 + -5y = (10 + -2y) Solving 7 + -5y = 10 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 7 + -5y + 2y = 10 + -2y + 2y Combine like terms: -5y + 2y = -3y 7 + -3y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 7 + -3y = 10 + 0 7 + -3y = 10 Add '-7' to each side of the equation. 7 + -7 + -3y = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = 10 + -7 -3y = 10 + -7 Combine like terms: 10 + -7 = 3 -3y = 3 Divide each side by '-3'. y = -1 Simplifying y = -1
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