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Simplifying -2(6y + 9) + -3(4 + 5y) = 0 Reorder the terms: -2(9 + 6y) + -3(4 + 5y) = 0 (9 * -2 + 6y * -2) + -3(4 + 5y) = 0 (-18 + -12y) + -3(4 + 5y) = 0 -18 + -12y + (4 * -3 + 5y * -3) = 0 -18 + -12y + (-12 + -15y) = 0 Reorder the terms: -18 + -12 + -12y + -15y = 0 Combine like terms: -18 + -12 = -30 -30 + -12y + -15y = 0 Combine like terms: -12y + -15y = -27y -30 + -27y = 0 Solving -30 + -27y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -27y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -27y = 0 + 30 -27y = 0 + 30 Combine like terms: 0 + 30 = 30 -27y = 30 Divide each side by '-27'. y = -1.111111111 Simplifying y = -1.111111111
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