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Simplifying -3(-2y + 3) + -1(2y + -4) + 2y + 7 = 0 Reorder the terms: -3(3 + -2y) + -1(2y + -4) + 2y + 7 = 0 (3 * -3 + -2y * -3) + -1(2y + -4) + 2y + 7 = 0 (-9 + 6y) + -1(2y + -4) + 2y + 7 = 0 Reorder the terms: -9 + 6y + -1(-4 + 2y) + 2y + 7 = 0 -9 + 6y + (-4 * -1 + 2y * -1) + 2y + 7 = 0 -9 + 6y + (4 + -2y) + 2y + 7 = 0 Reorder the terms: -9 + 4 + 7 + 6y + -2y + 2y = 0 Combine like terms: -9 + 4 = -5 -5 + 7 + 6y + -2y + 2y = 0 Combine like terms: -5 + 7 = 2 2 + 6y + -2y + 2y = 0 Combine like terms: 6y + -2y = 4y 2 + 4y + 2y = 0 Combine like terms: 4y + 2y = 6y 2 + 6y = 0 Solving 2 + 6y = 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 + 6y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6y = 0 + -2 6y = 0 + -2 Combine like terms: 0 + -2 = -2 6y = -2 Divide each side by '6'. y = -0.3333333333 Simplifying y = -0.3333333333
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