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Simplifying -3(7y + -3) + 6y = 3(y + 2) Reorder the terms: -3(-3 + 7y) + 6y = 3(y + 2) (-3 * -3 + 7y * -3) + 6y = 3(y + 2) (9 + -21y) + 6y = 3(y + 2) Combine like terms: -21y + 6y = -15y 9 + -15y = 3(y + 2) Reorder the terms: 9 + -15y = 3(2 + y) 9 + -15y = (2 * 3 + y * 3) 9 + -15y = (6 + 3y) Solving 9 + -15y = 6 + 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. 9 + -15y + -3y = 6 + 3y + -3y Combine like terms: -15y + -3y = -18y 9 + -18y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 9 + -18y = 6 + 0 9 + -18y = 6 Add '-9' to each side of the equation. 9 + -9 + -18y = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -18y = 6 + -9 -18y = 6 + -9 Combine like terms: 6 + -9 = -3 -18y = -3 Divide each side by '-18'. y = 0.1666666667 Simplifying y = 0.1666666667
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