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Simplifying 2(5y + -2) + -3(y + -6) = 0 Reorder the terms: 2(-2 + 5y) + -3(y + -6) = 0 (-2 * 2 + 5y * 2) + -3(y + -6) = 0 (-4 + 10y) + -3(y + -6) = 0 Reorder the terms: -4 + 10y + -3(-6 + y) = 0 -4 + 10y + (-6 * -3 + y * -3) = 0 -4 + 10y + (18 + -3y) = 0 Reorder the terms: -4 + 18 + 10y + -3y = 0 Combine like terms: -4 + 18 = 14 14 + 10y + -3y = 0 Combine like terms: 10y + -3y = 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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