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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 = -45Y 14 + -45Y = -16 + 24Y + -24Y Combine like terms: 24Y + -24Y = 0 14 + -45Y = -16 + 0 14 + -45Y = -16 Add '-14' to each side of the equation. 14 + -14 + -45Y = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -45Y = -16 + -14 -45Y = -16 + -14 Combine like terms: -16 + -14 = -30 -45Y = -30 Divide each side by '-45'. Y = 0.6666666667 Simplifying Y = 0.6666666667
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