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Simplifying 3(2y + -4) = 9 + -3(y + 3) Reorder the terms: 3(-4 + 2y) = 9 + -3(y + 3) (-4 * 3 + 2y * 3) = 9 + -3(y + 3) (-12 + 6y) = 9 + -3(y + 3) Reorder the terms: -12 + 6y = 9 + -3(3 + y) -12 + 6y = 9 + (3 * -3 + y * -3) -12 + 6y = 9 + (-9 + -3y) Combine like terms: 9 + -9 = 0 -12 + 6y = 0 + -3y -12 + 6y = -3y Solving -12 + 6y = -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 = -3y + 3y Combine like terms: 6y + 3y = 9y -12 + 9y = -3y + 3y Combine like terms: -3y + 3y = 0 -12 + 9y = 0 Add '12' to each side of the equation. -12 + 12 + 9y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 9y = 0 + 12 9y = 0 + 12 Combine like terms: 0 + 12 = 12 9y = 12 Divide each side by '9'. y = 1.333333333 Simplifying y = 1.333333333
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