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Simplifying -6(3y + 6) + 5(y + -6) = 0 Reorder the terms: -6(6 + 3y) + 5(y + -6) = 0 (6 * -6 + 3y * -6) + 5(y + -6) = 0 (-36 + -18y) + 5(y + -6) = 0 Reorder the terms: -36 + -18y + 5(-6 + y) = 0 -36 + -18y + (-6 * 5 + y * 5) = 0 -36 + -18y + (-30 + 5y) = 0 Reorder the terms: -36 + -30 + -18y + 5y = 0 Combine like terms: -36 + -30 = -66 -66 + -18y + 5y = 0 Combine like terms: -18y + 5y = -13y -66 + -13y = 0 Solving -66 + -13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + -13y = 0 + 66 Combine like terms: -66 + 66 = 0 0 + -13y = 0 + 66 -13y = 0 + 66 Combine like terms: 0 + 66 = 66 -13y = 66 Divide each side by '-13'. y = -5.076923077 Simplifying y = -5.076923077
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