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Simplifying 7(3y + 1) + -3(y + -2) = 0 Reorder the terms: 7(1 + 3y) + -3(y + -2) = 0 (1 * 7 + 3y * 7) + -3(y + -2) = 0 (7 + 21y) + -3(y + -2) = 0 Reorder the terms: 7 + 21y + -3(-2 + y) = 0 7 + 21y + (-2 * -3 + y * -3) = 0 7 + 21y + (6 + -3y) = 0 Reorder the terms: 7 + 6 + 21y + -3y = 0 Combine like terms: 7 + 6 = 13 13 + 21y + -3y = 0 Combine like terms: 21y + -3y = 18y 13 + 18y = 0 Solving 13 + 18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 18y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 18y = 0 + -13 18y = 0 + -13 Combine like terms: 0 + -13 = -13 18y = -13 Divide each side by '18'. y = -0.7222222222 Simplifying y = -0.7222222222
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