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Simplifying 3(3y + -1) + -5(4y + -3) = 0 Reorder the terms: 3(-1 + 3y) + -5(4y + -3) = 0 (-1 * 3 + 3y * 3) + -5(4y + -3) = 0 (-3 + 9y) + -5(4y + -3) = 0 Reorder the terms: -3 + 9y + -5(-3 + 4y) = 0 -3 + 9y + (-3 * -5 + 4y * -5) = 0 -3 + 9y + (15 + -20y) = 0 Reorder the terms: -3 + 15 + 9y + -20y = 0 Combine like terms: -3 + 15 = 12 12 + 9y + -20y = 0 Combine like terms: 9y + -20y = -11y 12 + -11y = 0 Solving 12 + -11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -11y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -11y = 0 + -12 -11y = 0 + -12 Combine like terms: 0 + -12 = -12 -11y = -12 Divide each side by '-11'. y = 1.090909091 Simplifying y = 1.090909091
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