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Simplifying 2y + -2(-4y + -5) + -1(3y + 2) = 0 Reorder the terms: 2y + -2(-5 + -4y) + -1(3y + 2) = 0 2y + (-5 * -2 + -4y * -2) + -1(3y + 2) = 0 2y + (10 + 8y) + -1(3y + 2) = 0 Reorder the terms: 2y + 10 + 8y + -1(2 + 3y) = 0 2y + 10 + 8y + (2 * -1 + 3y * -1) = 0 2y + 10 + 8y + (-2 + -3y) = 0 Reorder the terms: 10 + -2 + 2y + 8y + -3y = 0 Combine like terms: 10 + -2 = 8 8 + 2y + 8y + -3y = 0 Combine like terms: 2y + 8y = 10y 8 + 10y + -3y = 0 Combine like terms: 10y + -3y = 7y 8 + 7y = 0 Solving 8 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7y = 0 + -8 7y = 0 + -8 Combine like terms: 0 + -8 = -8 7y = -8 Divide each side by '7'. y = -1.142857143 Simplifying y = -1.142857143
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