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Simplifying -7(2y + -1) + 5y = -3(y + 1) Reorder the terms: -7(-1 + 2y) + 5y = -3(y + 1) (-1 * -7 + 2y * -7) + 5y = -3(y + 1) (7 + -14y) + 5y = -3(y + 1) Combine like terms: -14y + 5y = -9y 7 + -9y = -3(y + 1) Reorder the terms: 7 + -9y = -3(1 + y) 7 + -9y = (1 * -3 + y * -3) 7 + -9y = (-3 + -3y) Solving 7 + -9y = -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 + -9y + 3y = -3 + -3y + 3y Combine like terms: -9y + 3y = -6y 7 + -6y = -3 + -3y + 3y Combine like terms: -3y + 3y = 0 7 + -6y = -3 + 0 7 + -6y = -3 Add '-7' to each side of the equation. 7 + -7 + -6y = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -6y = -3 + -7 -6y = -3 + -7 Combine like terms: -3 + -7 = -10 -6y = -10 Divide each side by '-6'. y = 1.666666667 Simplifying y = 1.666666667
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