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Simplifying 5(2y + -5) = 3(y + -1) Reorder the terms: 5(-5 + 2y) = 3(y + -1) (-5 * 5 + 2y * 5) = 3(y + -1) (-25 + 10y) = 3(y + -1) Reorder the terms: -25 + 10y = 3(-1 + y) -25 + 10y = (-1 * 3 + y * 3) -25 + 10y = (-3 + 3y) Solving -25 + 10y = -3 + 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 + 10y + -3y = -3 + 3y + -3y Combine like terms: 10y + -3y = 7y -25 + 7y = -3 + 3y + -3y Combine like terms: 3y + -3y = 0 -25 + 7y = -3 + 0 -25 + 7y = -3 Add '25' to each side of the equation. -25 + 25 + 7y = -3 + 25 Combine like terms: -25 + 25 = 0 0 + 7y = -3 + 25 7y = -3 + 25 Combine like terms: -3 + 25 = 22 7y = 22 Divide each side by '7'. y = 3.142857143 Simplifying y = 3.142857143
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