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Simplifying -5(-2y + 7) = 3(y + 5) Reorder the terms: -5(7 + -2y) = 3(y + 5) (7 * -5 + -2y * -5) = 3(y + 5) (-35 + 10y) = 3(y + 5) Reorder the terms: -35 + 10y = 3(5 + y) -35 + 10y = (5 * 3 + y * 3) -35 + 10y = (15 + 3y) Solving -35 + 10y = 15 + 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. -35 + 10y + -3y = 15 + 3y + -3y Combine like terms: 10y + -3y = 7y -35 + 7y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 -35 + 7y = 15 + 0 -35 + 7y = 15 Add '35' to each side of the equation. -35 + 35 + 7y = 15 + 35 Combine like terms: -35 + 35 = 0 0 + 7y = 15 + 35 7y = 15 + 35 Combine like terms: 15 + 35 = 50 7y = 50 Divide each side by '7'. y = 7.142857143 Simplifying y = 7.142857143
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