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Simplifying -3(2y + -3) + 3y = 5 + 2(3y + -4) Reorder the terms: -3(-3 + 2y) + 3y = 5 + 2(3y + -4) (-3 * -3 + 2y * -3) + 3y = 5 + 2(3y + -4) (9 + -6y) + 3y = 5 + 2(3y + -4) Combine like terms: -6y + 3y = -3y 9 + -3y = 5 + 2(3y + -4) Reorder the terms: 9 + -3y = 5 + 2(-4 + 3y) 9 + -3y = 5 + (-4 * 2 + 3y * 2) 9 + -3y = 5 + (-8 + 6y) Combine like terms: 5 + -8 = -3 9 + -3y = -3 + 6y Solving 9 + -3y = -3 + 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. 9 + -3y + -6y = -3 + 6y + -6y Combine like terms: -3y + -6y = -9y 9 + -9y = -3 + 6y + -6y Combine like terms: 6y + -6y = 0 9 + -9y = -3 + 0 9 + -9y = -3 Add '-9' to each side of the equation. 9 + -9 + -9y = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -9y = -3 + -9 -9y = -3 + -9 Combine like terms: -3 + -9 = -12 -9y = -12 Divide each side by '-9'. y = 1.333333333 Simplifying y = 1.333333333
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