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Simplifying 3y + 12 = 4y + -2y + 1 Reorder the terms: 12 + 3y = 4y + -2y + 1 Reorder the terms: 12 + 3y = 1 + 4y + -2y Combine like terms: 4y + -2y = 2y 12 + 3y = 1 + 2y Solving 12 + 3y = 1 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 12 + 3y + -2y = 1 + 2y + -2y Combine like terms: 3y + -2y = 1y 12 + 1y = 1 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 1y = 1 + 0 12 + 1y = 1 Add '-12' to each side of the equation. 12 + -12 + 1y = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = 1 + -12 1y = 1 + -12 Combine like terms: 1 + -12 = -11 1y = -11 Divide each side by '1'. y = -11 Simplifying y = -11
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