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Simplifying 7y + 3 + -4(-2y + -1) = 5(y + -1) Reorder the terms: 7y + 3 + -4(-1 + -2y) = 5(y + -1) 7y + 3 + (-1 * -4 + -2y * -4) = 5(y + -1) 7y + 3 + (4 + 8y) = 5(y + -1) Reorder the terms: 3 + 4 + 7y + 8y = 5(y + -1) Combine like terms: 3 + 4 = 7 7 + 7y + 8y = 5(y + -1) Combine like terms: 7y + 8y = 15y 7 + 15y = 5(y + -1) Reorder the terms: 7 + 15y = 5(-1 + y) 7 + 15y = (-1 * 5 + y * 5) 7 + 15y = (-5 + 5y) Solving 7 + 15y = -5 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 7 + 15y + -5y = -5 + 5y + -5y Combine like terms: 15y + -5y = 10y 7 + 10y = -5 + 5y + -5y Combine like terms: 5y + -5y = 0 7 + 10y = -5 + 0 7 + 10y = -5 Add '-7' to each side of the equation. 7 + -7 + 10y = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 10y = -5 + -7 10y = -5 + -7 Combine like terms: -5 + -7 = -12 10y = -12 Divide each side by '10'. y = -1.2 Simplifying y = -1.2
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