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Simplifying -3(-3y + 2) + -1(4y + -3) + -3y + 5 = 0 Reorder the terms: -3(2 + -3y) + -1(4y + -3) + -3y + 5 = 0 (2 * -3 + -3y * -3) + -1(4y + -3) + -3y + 5 = 0 (-6 + 9y) + -1(4y + -3) + -3y + 5 = 0 Reorder the terms: -6 + 9y + -1(-3 + 4y) + -3y + 5 = 0 -6 + 9y + (-3 * -1 + 4y * -1) + -3y + 5 = 0 -6 + 9y + (3 + -4y) + -3y + 5 = 0 Reorder the terms: -6 + 3 + 5 + 9y + -4y + -3y = 0 Combine like terms: -6 + 3 = -3 -3 + 5 + 9y + -4y + -3y = 0 Combine like terms: -3 + 5 = 2 2 + 9y + -4y + -3y = 0 Combine like terms: 9y + -4y = 5y 2 + 5y + -3y = 0 Combine like terms: 5y + -3y = 2y 2 + 2y = 0 Solving 2 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = 0 + -2 2y = 0 + -2 Combine like terms: 0 + -2 = -2 2y = -2 Divide each side by '2'. y = -1 Simplifying y = -1
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