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Simplifying 6(3y + -5) + -1(5y + 2) = 0 Reorder the terms: 6(-5 + 3y) + -1(5y + 2) = 0 (-5 * 6 + 3y * 6) + -1(5y + 2) = 0 (-30 + 18y) + -1(5y + 2) = 0 Reorder the terms: -30 + 18y + -1(2 + 5y) = 0 -30 + 18y + (2 * -1 + 5y * -1) = 0 -30 + 18y + (-2 + -5y) = 0 Reorder the terms: -30 + -2 + 18y + -5y = 0 Combine like terms: -30 + -2 = -32 -32 + 18y + -5y = 0 Combine like terms: 18y + -5y = 13y -32 + 13y = 0 Solving -32 + 13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 13y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 13y = 0 + 32 13y = 0 + 32 Combine like terms: 0 + 32 = 32 13y = 32 Divide each side by '13'. y = 2.461538462 Simplifying y = 2.461538462
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