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Simplifying 5(2y + -3) + -1(9y + 3) = 0 Reorder the terms: 5(-3 + 2y) + -1(9y + 3) = 0 (-3 * 5 + 2y * 5) + -1(9y + 3) = 0 (-15 + 10y) + -1(9y + 3) = 0 Reorder the terms: -15 + 10y + -1(3 + 9y) = 0 -15 + 10y + (3 * -1 + 9y * -1) = 0 -15 + 10y + (-3 + -9y) = 0 Reorder the terms: -15 + -3 + 10y + -9y = 0 Combine like terms: -15 + -3 = -18 -18 + 10y + -9y = 0 Combine like terms: 10y + -9y = 1y -18 + 1y = 0 Solving -18 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1y = 0 + 18 1y = 0 + 18 Combine like terms: 0 + 18 = 18 1y = 18 Divide each side by '1'. y = 18 Simplifying y = 18
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