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Simplifying 5(y + 3) + 6(y + -2) + 7 = 0 Reorder the terms: 5(3 + y) + 6(y + -2) + 7 = 0 (3 * 5 + y * 5) + 6(y + -2) + 7 = 0 (15 + 5y) + 6(y + -2) + 7 = 0 Reorder the terms: 15 + 5y + 6(-2 + y) + 7 = 0 15 + 5y + (-2 * 6 + y * 6) + 7 = 0 15 + 5y + (-12 + 6y) + 7 = 0 Reorder the terms: 15 + -12 + 7 + 5y + 6y = 0 Combine like terms: 15 + -12 = 3 3 + 7 + 5y + 6y = 0 Combine like terms: 3 + 7 = 10 10 + 5y + 6y = 0 Combine like terms: 5y + 6y = 11y 10 + 11y = 0 Solving 10 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 11y = 0 + -10 11y = 0 + -10 Combine like terms: 0 + -10 = -10 11y = -10 Divide each side by '11'. y = -0.9090909091 Simplifying y = -0.9090909091
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