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Simplifying 3(5y + -6) + -4(y + -3) = 0 Reorder the terms: 3(-6 + 5y) + -4(y + -3) = 0 (-6 * 3 + 5y * 3) + -4(y + -3) = 0 (-18 + 15y) + -4(y + -3) = 0 Reorder the terms: -18 + 15y + -4(-3 + y) = 0 -18 + 15y + (-3 * -4 + y * -4) = 0 -18 + 15y + (12 + -4y) = 0 Reorder the terms: -18 + 12 + 15y + -4y = 0 Combine like terms: -18 + 12 = -6 -6 + 15y + -4y = 0 Combine like terms: 15y + -4y = 11y -6 + 11y = 0 Solving -6 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 11y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 11y = 0 + 6 11y = 0 + 6 Combine like terms: 0 + 6 = 6 11y = 6 Divide each side by '11'. y = 0.5454545455 Simplifying y = 0.5454545455
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