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Simplifying 9(3y + -6) + -1(8y + 3) = 0 Reorder the terms: 9(-6 + 3y) + -1(8y + 3) = 0 (-6 * 9 + 3y * 9) + -1(8y + 3) = 0 (-54 + 27y) + -1(8y + 3) = 0 Reorder the terms: -54 + 27y + -1(3 + 8y) = 0 -54 + 27y + (3 * -1 + 8y * -1) = 0 -54 + 27y + (-3 + -8y) = 0 Reorder the terms: -54 + -3 + 27y + -8y = 0 Combine like terms: -54 + -3 = -57 -57 + 27y + -8y = 0 Combine like terms: 27y + -8y = 19y -57 + 19y = 0 Solving -57 + 19y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 19y = 0 + 57 Combine like terms: -57 + 57 = 0 0 + 19y = 0 + 57 19y = 0 + 57 Combine like terms: 0 + 57 = 57 19y = 57 Divide each side by '19'. y = 3 Simplifying y = 3
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