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Simplifying 2(5y + -9) + -1(6y + 3) = 0 Reorder the terms: 2(-9 + 5y) + -1(6y + 3) = 0 (-9 * 2 + 5y * 2) + -1(6y + 3) = 0 (-18 + 10y) + -1(6y + 3) = 0 Reorder the terms: -18 + 10y + -1(3 + 6y) = 0 -18 + 10y + (3 * -1 + 6y * -1) = 0 -18 + 10y + (-3 + -6y) = 0 Reorder the terms: -18 + -3 + 10y + -6y = 0 Combine like terms: -18 + -3 = -21 -21 + 10y + -6y = 0 Combine like terms: 10y + -6y = 4y -21 + 4y = 0 Solving -21 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 4y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 4y = 0 + 21 4y = 0 + 21 Combine like terms: 0 + 21 = 21 4y = 21 Divide each side by '4'. y = 5.25 Simplifying y = 5.25
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