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Simplifying 7(-3Y + 2) = (3Y + -2) Reorder the terms: 7(2 + -3Y) = (3Y + -2) (2 * 7 + -3Y * 7) = (3Y + -2) (14 + -21Y) = (3Y + -2) Reorder the terms: 14 + -21Y = (-2 + 3Y) Remove parenthesis around (-2 + 3Y) 14 + -21Y = -2 + 3Y Solving 14 + -21Y = -2 + 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 = -2 + 3Y + -3Y Combine like terms: -21Y + -3Y = -24Y 14 + -24Y = -2 + 3Y + -3Y Combine like terms: 3Y + -3Y = 0 14 + -24Y = -2 + 0 14 + -24Y = -2 Add '-14' to each side of the equation. 14 + -14 + -24Y = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -24Y = -2 + -14 -24Y = -2 + -14 Combine like terms: -2 + -14 = -16 -24Y = -16 Divide each side by '-24'. Y = 0.6666666667 Simplifying Y = 0.6666666667
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