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Simplifying 4y + -1(3y + -1) + -3 + 6(y + -2) = 0 Reorder the terms: 4y + -1(-1 + 3y) + -3 + 6(y + -2) = 0 4y + (-1 * -1 + 3y * -1) + -3 + 6(y + -2) = 0 4y + (1 + -3y) + -3 + 6(y + -2) = 0 Reorder the terms: 4y + 1 + -3y + -3 + 6(-2 + y) = 0 4y + 1 + -3y + -3 + (-2 * 6 + y * 6) = 0 4y + 1 + -3y + -3 + (-12 + 6y) = 0 Reorder the terms: 1 + -3 + -12 + 4y + -3y + 6y = 0 Combine like terms: 1 + -3 = -2 -2 + -12 + 4y + -3y + 6y = 0 Combine like terms: -2 + -12 = -14 -14 + 4y + -3y + 6y = 0 Combine like terms: 4y + -3y = 1y -14 + 1y + 6y = 0 Combine like terms: 1y + 6y = 7y -14 + 7y = 0 Solving -14 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 7y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 7y = 0 + 14 7y = 0 + 14 Combine like terms: 0 + 14 = 14 7y = 14 Divide each side by '7'. y = 2 Simplifying y = 2
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