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Simplifying 6(2 + -3y) = 3(3 + -3y) (2 * 6 + -3y * 6) = 3(3 + -3y) (12 + -18y) = 3(3 + -3y) 12 + -18y = (3 * 3 + -3y * 3) 12 + -18y = (9 + -9y) Solving 12 + -18y = 9 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 12 + -18y + 9y = 9 + -9y + 9y Combine like terms: -18y + 9y = -9y 12 + -9y = 9 + -9y + 9y Combine like terms: -9y + 9y = 0 12 + -9y = 9 + 0 12 + -9y = 9 Add '-12' to each side of the equation. 12 + -12 + -9y = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -9y = 9 + -12 -9y = 9 + -12 Combine like terms: 9 + -12 = -3 -9y = -3 Divide each side by '-9'. y = 0.3333333333 Simplifying y = 0.3333333333
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