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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: 9y + 8 + -12y + 6(-3 + y) = 32 9y + 8 + -12y + (-3 * 6 + y * 6) = 32 9y + 8 + -12y + (-18 + 6y) = 32 Reorder the terms: 8 + -18 + 9y + -12y + 6y = 32 Combine like terms: 8 + -18 = -10 -10 + 9y + -12y + 6y = 32 Combine like terms: 9y + -12y = -3y -10 + -3y + 6y = 32 Combine like terms: -3y + 6y = 3y -10 + 3y = 32 Solving -10 + 3y = 32 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3y = 32 + 10 Combine like terms: -10 + 10 = 0 0 + 3y = 32 + 10 3y = 32 + 10 Combine like terms: 32 + 10 = 42 3y = 42 Divide each side by '3'. y = 14 Simplifying y = 14
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