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Simplifying 2y + (6(6(2y + -5) + -1(5y + 4)) + 2) = 0 Reorder the terms: 2y + (6(6(-5 + 2y) + -1(5y + 4)) + 2) = 0 2y + (6((-5 * 6 + 2y * 6) + -1(5y + 4)) + 2) = 0 2y + (6((-30 + 12y) + -1(5y + 4)) + 2) = 0 Reorder the terms: 2y + (6(-30 + 12y + -1(4 + 5y)) + 2) = 0 2y + (6(-30 + 12y + (4 * -1 + 5y * -1)) + 2) = 0 2y + (6(-30 + 12y + (-4 + -5y)) + 2) = 0 Reorder the terms: 2y + (6(-30 + -4 + 12y + -5y) + 2) = 0 Combine like terms: -30 + -4 = -34 2y + (6(-34 + 12y + -5y) + 2) = 0 Combine like terms: 12y + -5y = 7y 2y + (6(-34 + 7y) + 2) = 0 2y + ((-34 * 6 + 7y * 6) + 2) = 0 2y + ((-204 + 42y) + 2) = 0 Reorder the terms: 2y + (-204 + 2 + 42y) = 0 Combine like terms: -204 + 2 = -202 2y + (-202 + 42y) = 0 Remove parenthesis around (-202 + 42y) 2y + -202 + 42y = 0 Reorder the terms: -202 + 2y + 42y = 0 Combine like terms: 2y + 42y = 44y -202 + 44y = 0 Solving -202 + 44y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '202' to each side of the equation. -202 + 202 + 44y = 0 + 202 Combine like terms: -202 + 202 = 0 0 + 44y = 0 + 202 44y = 0 + 202 Combine like terms: 0 + 202 = 202 44y = 202 Divide each side by '44'. y = 4.590909091 Simplifying y = 4.590909091
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