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Simplifying 5(y + -5) = 3(y + -7) Reorder the terms: 5(-5 + y) = 3(y + -7) (-5 * 5 + y * 5) = 3(y + -7) (-25 + 5y) = 3(y + -7) Reorder the terms: -25 + 5y = 3(-7 + y) -25 + 5y = (-7 * 3 + y * 3) -25 + 5y = (-21 + 3y) Solving -25 + 5y = -21 + 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. -25 + 5y + -3y = -21 + 3y + -3y Combine like terms: 5y + -3y = 2y -25 + 2y = -21 + 3y + -3y Combine like terms: 3y + -3y = 0 -25 + 2y = -21 + 0 -25 + 2y = -21 Add '25' to each side of the equation. -25 + 25 + 2y = -21 + 25 Combine like terms: -25 + 25 = 0 0 + 2y = -21 + 25 2y = -21 + 25 Combine like terms: -21 + 25 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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