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Simplifying 31 + 3y + -12 = 14y + -9 + -4y Reorder the terms: 31 + -12 + 3y = 14y + -9 + -4y Combine like terms: 31 + -12 = 19 19 + 3y = 14y + -9 + -4y Reorder the terms: 19 + 3y = -9 + 14y + -4y Combine like terms: 14y + -4y = 10y 19 + 3y = -9 + 10y Solving 19 + 3y = -9 + 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. 19 + 3y + -10y = -9 + 10y + -10y Combine like terms: 3y + -10y = -7y 19 + -7y = -9 + 10y + -10y Combine like terms: 10y + -10y = 0 19 + -7y = -9 + 0 19 + -7y = -9 Add '-19' to each side of the equation. 19 + -19 + -7y = -9 + -19 Combine like terms: 19 + -19 = 0 0 + -7y = -9 + -19 -7y = -9 + -19 Combine like terms: -9 + -19 = -28 -7y = -28 Divide each side by '-7'. y = 4 Simplifying y = 4
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