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Simplifying 7 + 2y + -4 = 5y + 12 + -2y Reorder the terms: 7 + -4 + 2y = 5y + 12 + -2y Combine like terms: 7 + -4 = 3 3 + 2y = 5y + 12 + -2y Reorder the terms: 3 + 2y = 12 + 5y + -2y Combine like terms: 5y + -2y = 3y 3 + 2y = 12 + 3y Solving 3 + 2y = 12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 3 + 2y + -3y = 12 + 3y + -3y Combine like terms: 2y + -3y = -1y 3 + -1y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 3 + -1y = 12 + 0 3 + -1y = 12 Add '-3' to each side of the equation. 3 + -3 + -1y = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 12 + -3 -1y = 12 + -3 Combine like terms: 12 + -3 = 9 -1y = 9 Divide each side by '-1'. y = -9 Simplifying y = -9
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