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Simplifying 3(2y + -4) = 9 + -3(y + -1) Reorder the terms: 3(-4 + 2y) = 9 + -3(y + -1) (-4 * 3 + 2y * 3) = 9 + -3(y + -1) (-12 + 6y) = 9 + -3(y + -1) Reorder the terms: -12 + 6y = 9 + -3(-1 + y) -12 + 6y = 9 + (-1 * -3 + y * -3) -12 + 6y = 9 + (3 + -3y) Combine like terms: 9 + 3 = 12 -12 + 6y = 12 + -3y Solving -12 + 6y = 12 + -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. -12 + 6y + 3y = 12 + -3y + 3y Combine like terms: 6y + 3y = 9y -12 + 9y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 -12 + 9y = 12 + 0 -12 + 9y = 12 Add '12' to each side of the equation. -12 + 12 + 9y = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 9y = 12 + 12 9y = 12 + 12 Combine like terms: 12 + 12 = 24 9y = 24 Divide each side by '9'. y = 2.666666667 Simplifying y = 2.666666667
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