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Simplifying 34 + 5y + -10 = 16y + -12 + -2y Reorder the terms: 34 + -10 + 5y = 16y + -12 + -2y Combine like terms: 34 + -10 = 24 24 + 5y = 16y + -12 + -2y Reorder the terms: 24 + 5y = -12 + 16y + -2y Combine like terms: 16y + -2y = 14y 24 + 5y = -12 + 14y Solving 24 + 5y = -12 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 24 + 5y + -14y = -12 + 14y + -14y Combine like terms: 5y + -14y = -9y 24 + -9y = -12 + 14y + -14y Combine like terms: 14y + -14y = 0 24 + -9y = -12 + 0 24 + -9y = -12 Add '-24' to each side of the equation. 24 + -24 + -9y = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -9y = -12 + -24 -9y = -12 + -24 Combine like terms: -12 + -24 = -36 -9y = -36 Divide each side by '-9'. y = 4 Simplifying y = 4
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