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Simplifying 7 + 2y + -3 = 6y + 12 + -3y Reorder the terms: 7 + -3 + 2y = 6y + 12 + -3y Combine like terms: 7 + -3 = 4 4 + 2y = 6y + 12 + -3y Reorder the terms: 4 + 2y = 12 + 6y + -3y Combine like terms: 6y + -3y = 3y 4 + 2y = 12 + 3y Solving 4 + 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. 4 + 2y + -3y = 12 + 3y + -3y Combine like terms: 2y + -3y = -1y 4 + -1y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 4 + -1y = 12 + 0 4 + -1y = 12 Add '-4' to each side of the equation. 4 + -4 + -1y = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 12 + -4 -1y = 12 + -4 Combine like terms: 12 + -4 = 8 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8
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