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Simplifying 5 + 3(3y + -3) = -2(6y + -2) + 9y Reorder the terms: 5 + 3(-3 + 3y) = -2(6y + -2) + 9y 5 + (-3 * 3 + 3y * 3) = -2(6y + -2) + 9y 5 + (-9 + 9y) = -2(6y + -2) + 9y Combine like terms: 5 + -9 = -4 -4 + 9y = -2(6y + -2) + 9y Reorder the terms: -4 + 9y = -2(-2 + 6y) + 9y -4 + 9y = (-2 * -2 + 6y * -2) + 9y -4 + 9y = (4 + -12y) + 9y Combine like terms: -12y + 9y = -3y -4 + 9y = 4 + -3y Solving -4 + 9y = 4 + -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. -4 + 9y + 3y = 4 + -3y + 3y Combine like terms: 9y + 3y = 12y -4 + 12y = 4 + -3y + 3y Combine like terms: -3y + 3y = 0 -4 + 12y = 4 + 0 -4 + 12y = 4 Add '4' to each side of the equation. -4 + 4 + 12y = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 12y = 4 + 4 12y = 4 + 4 Combine like terms: 4 + 4 = 8 12y = 8 Divide each side by '12'. y = 0.6666666667 Simplifying y = 0.6666666667
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