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Simplifying 3(4y + -9) + -4(7y + 5) = 0 Reorder the terms: 3(-9 + 4y) + -4(7y + 5) = 0 (-9 * 3 + 4y * 3) + -4(7y + 5) = 0 (-27 + 12y) + -4(7y + 5) = 0 Reorder the terms: -27 + 12y + -4(5 + 7y) = 0 -27 + 12y + (5 * -4 + 7y * -4) = 0 -27 + 12y + (-20 + -28y) = 0 Reorder the terms: -27 + -20 + 12y + -28y = 0 Combine like terms: -27 + -20 = -47 -47 + 12y + -28y = 0 Combine like terms: 12y + -28y = -16y -47 + -16y = 0 Solving -47 + -16y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + -16y = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -16y = 0 + 47 -16y = 0 + 47 Combine like terms: 0 + 47 = 47 -16y = 47 Divide each side by '-16'. y = -2.9375 Simplifying y = -2.9375
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