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Simplifying 12y + 2y + 3 = 10y + 5y + 7 + -8 Reorder the terms: 3 + 12y + 2y = 10y + 5y + 7 + -8 Combine like terms: 12y + 2y = 14y 3 + 14y = 10y + 5y + 7 + -8 Reorder the terms: 3 + 14y = 7 + -8 + 10y + 5y Combine like terms: 7 + -8 = -1 3 + 14y = -1 + 10y + 5y Combine like terms: 10y + 5y = 15y 3 + 14y = -1 + 15y Solving 3 + 14y = -1 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 3 + 14y + -15y = -1 + 15y + -15y Combine like terms: 14y + -15y = -1y 3 + -1y = -1 + 15y + -15y Combine like terms: 15y + -15y = 0 3 + -1y = -1 + 0 3 + -1y = -1 Add '-3' to each side of the equation. 3 + -3 + -1y = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = -1 + -3 -1y = -1 + -3 Combine like terms: -1 + -3 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4
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