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Simplifying 7(-3y + 2) = 8(2 + -3y) Reorder the terms: 7(2 + -3y) = 8(2 + -3y) (2 * 7 + -3y * 7) = 8(2 + -3y) (14 + -21y) = 8(2 + -3y) 14 + -21y = (2 * 8 + -3y * 8) 14 + -21y = (16 + -24y) Solving 14 + -21y = 16 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. 14 + -21y + 24y = 16 + -24y + 24y Combine like terms: -21y + 24y = 3y 14 + 3y = 16 + -24y + 24y Combine like terms: -24y + 24y = 0 14 + 3y = 16 + 0 14 + 3y = 16 Add '-14' to each side of the equation. 14 + -14 + 3y = 16 + -14 Combine like terms: 14 + -14 = 0 0 + 3y = 16 + -14 3y = 16 + -14 Combine like terms: 16 + -14 = 2 3y = 2 Divide each side by '3'. y = 0.6666666667 Simplifying y = 0.6666666667
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