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Simplifying 3(3y + -4) = -2(3y + -9) Reorder the terms: 3(-4 + 3y) = -2(3y + -9) (-4 * 3 + 3y * 3) = -2(3y + -9) (-12 + 9y) = -2(3y + -9) Reorder the terms: -12 + 9y = -2(-9 + 3y) -12 + 9y = (-9 * -2 + 3y * -2) -12 + 9y = (18 + -6y) Solving -12 + 9y = 18 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -12 + 9y + 6y = 18 + -6y + 6y Combine like terms: 9y + 6y = 15y -12 + 15y = 18 + -6y + 6y Combine like terms: -6y + 6y = 0 -12 + 15y = 18 + 0 -12 + 15y = 18 Add '12' to each side of the equation. -12 + 12 + 15y = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 15y = 18 + 12 15y = 18 + 12 Combine like terms: 18 + 12 = 30 15y = 30 Divide each side by '15'. y = 2 Simplifying y = 2
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