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Simplifying 4(y + -6) + -5(3y + -1) = 0 Reorder the terms: 4(-6 + y) + -5(3y + -1) = 0 (-6 * 4 + y * 4) + -5(3y + -1) = 0 (-24 + 4y) + -5(3y + -1) = 0 Reorder the terms: -24 + 4y + -5(-1 + 3y) = 0 -24 + 4y + (-1 * -5 + 3y * -5) = 0 -24 + 4y + (5 + -15y) = 0 Reorder the terms: -24 + 5 + 4y + -15y = 0 Combine like terms: -24 + 5 = -19 -19 + 4y + -15y = 0 Combine like terms: 4y + -15y = -11y -19 + -11y = 0 Solving -19 + -11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -11y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -11y = 0 + 19 -11y = 0 + 19 Combine like terms: 0 + 19 = 19 -11y = 19 Divide each side by '-11'. y = -1.727272727 Simplifying y = -1.727272727
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