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Simplifying 2(y + -6) + -3(6y + 5) = 0 Reorder the terms: 2(-6 + y) + -3(6y + 5) = 0 (-6 * 2 + y * 2) + -3(6y + 5) = 0 (-12 + 2y) + -3(6y + 5) = 0 Reorder the terms: -12 + 2y + -3(5 + 6y) = 0 -12 + 2y + (5 * -3 + 6y * -3) = 0 -12 + 2y + (-15 + -18y) = 0 Reorder the terms: -12 + -15 + 2y + -18y = 0 Combine like terms: -12 + -15 = -27 -27 + 2y + -18y = 0 Combine like terms: 2y + -18y = -16y -27 + -16y = 0 Solving -27 + -16y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -16y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -16y = 0 + 27 -16y = 0 + 27 Combine like terms: 0 + 27 = 27 -16y = 27 Divide each side by '-16'. y = -1.6875 Simplifying y = -1.6875
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