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Simplifying 3(y + 5) + 6(y + -2) + 4 = 0 Reorder the terms: 3(5 + y) + 6(y + -2) + 4 = 0 (5 * 3 + y * 3) + 6(y + -2) + 4 = 0 (15 + 3y) + 6(y + -2) + 4 = 0 Reorder the terms: 15 + 3y + 6(-2 + y) + 4 = 0 15 + 3y + (-2 * 6 + y * 6) + 4 = 0 15 + 3y + (-12 + 6y) + 4 = 0 Reorder the terms: 15 + -12 + 4 + 3y + 6y = 0 Combine like terms: 15 + -12 = 3 3 + 4 + 3y + 6y = 0 Combine like terms: 3 + 4 = 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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