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Simplifying 21 + 3y + -2 = 12y + -11 + -4y Reorder the terms: 21 + -2 + 3y = 12y + -11 + -4y Combine like terms: 21 + -2 = 19 19 + 3y = 12y + -11 + -4y Reorder the terms: 19 + 3y = -11 + 12y + -4y Combine like terms: 12y + -4y = 8y 19 + 3y = -11 + 8y Solving 19 + 3y = -11 + 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. 19 + 3y + -8y = -11 + 8y + -8y Combine like terms: 3y + -8y = -5y 19 + -5y = -11 + 8y + -8y Combine like terms: 8y + -8y = 0 19 + -5y = -11 + 0 19 + -5y = -11 Add '-19' to each side of the equation. 19 + -19 + -5y = -11 + -19 Combine like terms: 19 + -19 = 0 0 + -5y = -11 + -19 -5y = -11 + -19 Combine like terms: -11 + -19 = -30 -5y = -30 Divide each side by '-5'. y = 6 Simplifying y = 6
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