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Simplifying 7(-3y + 2) = 8 + (3y + -2) Reorder the terms: 7(2 + -3y) = 8 + (3y + -2) (2 * 7 + -3y * 7) = 8 + (3y + -2) (14 + -21y) = 8 + (3y + -2) Reorder the terms: 14 + -21y = 8 + (-2 + 3y) Remove parenthesis around (-2 + 3y) 14 + -21y = 8 + -2 + 3y Combine like terms: 8 + -2 = 6 14 + -21y = 6 + 3y Solving 14 + -21y = 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. 14 + -21y + -3y = 6 + 3y + -3y Combine like terms: -21y + -3y = -24y 14 + -24y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 14 + -24y = 6 + 0 14 + -24y = 6 Add '-14' to each side of the equation. 14 + -14 + -24y = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -24y = 6 + -14 -24y = 6 + -14 Combine like terms: 6 + -14 = -8 -24y = -8 Divide each side by '-24'. y = 0.3333333333 Simplifying y = 0.3333333333
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