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Simplifying 31 + 4y + -2 = 14y + -11 + -2y Reorder the terms: 31 + -2 + 4y = 14y + -11 + -2y Combine like terms: 31 + -2 = 29 29 + 4y = 14y + -11 + -2y Reorder the terms: 29 + 4y = -11 + 14y + -2y Combine like terms: 14y + -2y = 12y 29 + 4y = -11 + 12y Solving 29 + 4y = -11 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 29 + 4y + -12y = -11 + 12y + -12y Combine like terms: 4y + -12y = -8y 29 + -8y = -11 + 12y + -12y Combine like terms: 12y + -12y = 0 29 + -8y = -11 + 0 29 + -8y = -11 Add '-29' to each side of the equation. 29 + -29 + -8y = -11 + -29 Combine like terms: 29 + -29 = 0 0 + -8y = -11 + -29 -8y = -11 + -29 Combine like terms: -11 + -29 = -40 -8y = -40 Divide each side by '-8'. y = 5 Simplifying y = 5
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