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Simplifying 3(5y + -4) + -4(y + 6) = 0 Reorder the terms: 3(-4 + 5y) + -4(y + 6) = 0 (-4 * 3 + 5y * 3) + -4(y + 6) = 0 (-12 + 15y) + -4(y + 6) = 0 Reorder the terms: -12 + 15y + -4(6 + y) = 0 -12 + 15y + (6 * -4 + y * -4) = 0 -12 + 15y + (-24 + -4y) = 0 Reorder the terms: -12 + -24 + 15y + -4y = 0 Combine like terms: -12 + -24 = -36 -36 + 15y + -4y = 0 Combine like terms: 15y + -4y = 11y -36 + 11y = 0 Solving -36 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 11y = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 11y = 0 + 36 11y = 0 + 36 Combine like terms: 0 + 36 = 36 11y = 36 Divide each side by '11'. y = 3.272727273 Simplifying y = 3.272727273
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