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Simplifying 9y + -4(3y + -2) = 6(y + -3) + -32 Reorder the terms: 9y + -4(-2 + 3y) = 6(y + -3) + -32 9y + (-2 * -4 + 3y * -4) = 6(y + -3) + -32 9y + (8 + -12y) = 6(y + -3) + -32 Reorder the terms: 8 + 9y + -12y = 6(y + -3) + -32 Combine like terms: 9y + -12y = -3y 8 + -3y = 6(y + -3) + -32 Reorder the terms: 8 + -3y = 6(-3 + y) + -32 8 + -3y = (-3 * 6 + y * 6) + -32 8 + -3y = (-18 + 6y) + -32 Reorder the terms: 8 + -3y = -18 + -32 + 6y Combine like terms: -18 + -32 = -50 8 + -3y = -50 + 6y Solving 8 + -3y = -50 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 8 + -3y + -6y = -50 + 6y + -6y Combine like terms: -3y + -6y = -9y 8 + -9y = -50 + 6y + -6y Combine like terms: 6y + -6y = 0 8 + -9y = -50 + 0 8 + -9y = -50 Add '-8' to each side of the equation. 8 + -8 + -9y = -50 + -8 Combine like terms: 8 + -8 = 0 0 + -9y = -50 + -8 -9y = -50 + -8 Combine like terms: -50 + -8 = -58 -9y = -58 Divide each side by '-9'. y = 6.444444444 Simplifying y = 6.444444444
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