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Simplifying -3(-3y + 3) + -1(4y + -5) + 3y + 7 = 0 Reorder the terms: -3(3 + -3y) + -1(4y + -5) + 3y + 7 = 0 (3 * -3 + -3y * -3) + -1(4y + -5) + 3y + 7 = 0 (-9 + 9y) + -1(4y + -5) + 3y + 7 = 0 Reorder the terms: -9 + 9y + -1(-5 + 4y) + 3y + 7 = 0 -9 + 9y + (-5 * -1 + 4y * -1) + 3y + 7 = 0 -9 + 9y + (5 + -4y) + 3y + 7 = 0 Reorder the terms: -9 + 5 + 7 + 9y + -4y + 3y = 0 Combine like terms: -9 + 5 = -4 -4 + 7 + 9y + -4y + 3y = 0 Combine like terms: -4 + 7 = 3 3 + 9y + -4y + 3y = 0 Combine like terms: 9y + -4y = 5y 3 + 5y + 3y = 0 Combine like terms: 5y + 3y = 8y 3 + 8y = 0 Solving 3 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8y = 0 + -3 8y = 0 + -3 Combine like terms: 0 + -3 = -3 8y = -3 Divide each side by '8'. y = -0.375 Simplifying y = -0.375
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