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Simplifying 9y + -2(6 + -5y) = y + -3(3y + 9) 9y + (6 * -2 + -5y * -2) = y + -3(3y + 9) 9y + (-12 + 10y) = y + -3(3y + 9) Reorder the terms: -12 + 9y + 10y = y + -3(3y + 9) Combine like terms: 9y + 10y = 19y -12 + 19y = y + -3(3y + 9) Reorder the terms: -12 + 19y = y + -3(9 + 3y) -12 + 19y = y + (9 * -3 + 3y * -3) -12 + 19y = y + (-27 + -9y) Reorder the terms: -12 + 19y = -27 + y + -9y Combine like terms: y + -9y = -8y -12 + 19y = -27 + -8y Solving -12 + 19y = -27 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -12 + 19y + 8y = -27 + -8y + 8y Combine like terms: 19y + 8y = 27y -12 + 27y = -27 + -8y + 8y Combine like terms: -8y + 8y = 0 -12 + 27y = -27 + 0 -12 + 27y = -27 Add '12' to each side of the equation. -12 + 12 + 27y = -27 + 12 Combine like terms: -12 + 12 = 0 0 + 27y = -27 + 12 27y = -27 + 12 Combine like terms: -27 + 12 = -15 27y = -15 Divide each side by '27'. y = -0.5555555556 Simplifying y = -0.5555555556
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