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Simplifying 7(6y + -6) + -1(5y + 9) = 0 Reorder the terms: 7(-6 + 6y) + -1(5y + 9) = 0 (-6 * 7 + 6y * 7) + -1(5y + 9) = 0 (-42 + 42y) + -1(5y + 9) = 0 Reorder the terms: -42 + 42y + -1(9 + 5y) = 0 -42 + 42y + (9 * -1 + 5y * -1) = 0 -42 + 42y + (-9 + -5y) = 0 Reorder the terms: -42 + -9 + 42y + -5y = 0 Combine like terms: -42 + -9 = -51 -51 + 42y + -5y = 0 Combine like terms: 42y + -5y = 37y -51 + 37y = 0 Solving -51 + 37y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 37y = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 37y = 0 + 51 37y = 0 + 51 Combine like terms: 0 + 51 = 51 37y = 51 Divide each side by '37'. y = 1.378378378 Simplifying y = 1.378378378
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