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Simplifying 3 + -5(3y + -2) + -1(3y + 1) = 0 Reorder the terms: 3 + -5(-2 + 3y) + -1(3y + 1) = 0 3 + (-2 * -5 + 3y * -5) + -1(3y + 1) = 0 3 + (10 + -15y) + -1(3y + 1) = 0 Reorder the terms: 3 + 10 + -15y + -1(1 + 3y) = 0 3 + 10 + -15y + (1 * -1 + 3y * -1) = 0 3 + 10 + -15y + (-1 + -3y) = 0 Reorder the terms: 3 + 10 + -1 + -15y + -3y = 0 Combine like terms: 3 + 10 = 13 13 + -1 + -15y + -3y = 0 Combine like terms: 13 + -1 = 12 12 + -15y + -3y = 0 Combine like terms: -15y + -3y = -18y 12 + -18y = 0 Solving 12 + -18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -18y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -18y = 0 + -12 -18y = 0 + -12 Combine like terms: 0 + -12 = -12 -18y = -12 Divide each side by '-18'. y = 0.6666666667 Simplifying y = 0.6666666667
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