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Simplifying 3(y + 5) + 6(y + -4) + 2 = 0 Reorder the terms: 3(5 + y) + 6(y + -4) + 2 = 0 (5 * 3 + y * 3) + 6(y + -4) + 2 = 0 (15 + 3y) + 6(y + -4) + 2 = 0 Reorder the terms: 15 + 3y + 6(-4 + y) + 2 = 0 15 + 3y + (-4 * 6 + y * 6) + 2 = 0 15 + 3y + (-24 + 6y) + 2 = 0 Reorder the terms: 15 + -24 + 2 + 3y + 6y = 0 Combine like terms: 15 + -24 = -9 -9 + 2 + 3y + 6y = 0 Combine like terms: -9 + 2 = -7 -7 + 3y + 6y = 0 Combine like terms: 3y + 6y = 9y -7 + 9y = 0 Solving -7 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 9y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9y = 0 + 7 9y = 0 + 7 Combine like terms: 0 + 7 = 7 9y = 7 Divide each side by '9'. y = 0.7777777778 Simplifying y = 0.7777777778
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