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Simplifying 5y + 3 + -4(-3y + -1) = 3(y + -1) Reorder the terms: 5y + 3 + -4(-1 + -3y) = 3(y + -1) 5y + 3 + (-1 * -4 + -3y * -4) = 3(y + -1) 5y + 3 + (4 + 12y) = 3(y + -1) Reorder the terms: 3 + 4 + 5y + 12y = 3(y + -1) Combine like terms: 3 + 4 = 7 7 + 5y + 12y = 3(y + -1) Combine like terms: 5y + 12y = 17y 7 + 17y = 3(y + -1) Reorder the terms: 7 + 17y = 3(-1 + y) 7 + 17y = (-1 * 3 + y * 3) 7 + 17y = (-3 + 3y) Solving 7 + 17y = -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. 7 + 17y + -3y = -3 + 3y + -3y Combine like terms: 17y + -3y = 14y 7 + 14y = -3 + 3y + -3y Combine like terms: 3y + -3y = 0 7 + 14y = -3 + 0 7 + 14y = -3 Add '-7' to each side of the equation. 7 + -7 + 14y = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 14y = -3 + -7 14y = -3 + -7 Combine like terms: -3 + -7 = -10 14y = -10 Divide each side by '14'. y = -0.7142857143 Simplifying y = -0.7142857143
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