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Simplifying 8 + -2y + -11 = y + 21 + 9y Reorder the terms: 8 + -11 + -2y = y + 21 + 9y Combine like terms: 8 + -11 = -3 -3 + -2y = y + 21 + 9y Reorder the terms: -3 + -2y = 21 + y + 9y Combine like terms: y + 9y = 10y -3 + -2y = 21 + 10y Solving -3 + -2y = 21 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -3 + -2y + -10y = 21 + 10y + -10y Combine like terms: -2y + -10y = -12y -3 + -12y = 21 + 10y + -10y Combine like terms: 10y + -10y = 0 -3 + -12y = 21 + 0 -3 + -12y = 21 Add '3' to each side of the equation. -3 + 3 + -12y = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -12y = 21 + 3 -12y = 21 + 3 Combine like terms: 21 + 3 = 24 -12y = 24 Divide each side by '-12'. y = -2 Simplifying y = -2
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