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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) 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 = -30 -3y = -30 Divide each side by '-3'. y = 10 Simplifying y = 10
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