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Simplifying 5(y + 2) + -6(2y + 2) = 0 Reorder the terms: 5(2 + y) + -6(2y + 2) = 0 (2 * 5 + y * 5) + -6(2y + 2) = 0 (10 + 5y) + -6(2y + 2) = 0 Reorder the terms: 10 + 5y + -6(2 + 2y) = 0 10 + 5y + (2 * -6 + 2y * -6) = 0 10 + 5y + (-12 + -12y) = 0 Reorder the terms: 10 + -12 + 5y + -12y = 0 Combine like terms: 10 + -12 = -2 -2 + 5y + -12y = 0 Combine like terms: 5y + -12y = -7y -2 + -7y = 0 Solving -2 + -7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7y = 0 + 2 -7y = 0 + 2 Combine like terms: 0 + 2 = 2 -7y = 2 Divide each side by '-7'. y = -0.2857142857 Simplifying y = -0.2857142857
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