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Simplifying 10y + 2y + 10 = 3y + 2y + -24 Reorder the terms: 10 + 10y + 2y = 3y + 2y + -24 Combine like terms: 10y + 2y = 12y 10 + 12y = 3y + 2y + -24 Reorder the terms: 10 + 12y = -24 + 3y + 2y Combine like terms: 3y + 2y = 5y 10 + 12y = -24 + 5y Solving 10 + 12y = -24 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 10 + 12y + -5y = -24 + 5y + -5y Combine like terms: 12y + -5y = 7y 10 + 7y = -24 + 5y + -5y Combine like terms: 5y + -5y = 0 10 + 7y = -24 + 0 10 + 7y = -24 Add '-10' to each side of the equation. 10 + -10 + 7y = -24 + -10 Combine like terms: 10 + -10 = 0 0 + 7y = -24 + -10 7y = -24 + -10 Combine like terms: -24 + -10 = -34 7y = -34 Divide each side by '7'. y = -4.857142857 Simplifying y = -4.857142857
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