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Simplifying -2y + 2 = 3y + 12 Reorder the terms: 2 + -2y = 3y + 12 Reorder the terms: 2 + -2y = 12 + 3y Solving 2 + -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. 2 + -2y + -3y = 12 + 3y + -3y Combine like terms: -2y + -3y = -5y 2 + -5y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 2 + -5y = 12 + 0 2 + -5y = 12 Add '-2' to each side of the equation. 2 + -2 + -5y = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -5y = 12 + -2 -5y = 12 + -2 Combine like terms: 12 + -2 = 10 -5y = 10 Divide each side by '-5'. y = -2 Simplifying y = -2
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