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Simplifying 3y + -12 + y + 2 = 5 + 3y + 2 Reorder the terms: -12 + 2 + 3y + y = 5 + 3y + 2 Combine like terms: -12 + 2 = -10 -10 + 3y + y = 5 + 3y + 2 Combine like terms: 3y + y = 4y -10 + 4y = 5 + 3y + 2 Reorder the terms: -10 + 4y = 5 + 2 + 3y Combine like terms: 5 + 2 = 7 -10 + 4y = 7 + 3y Solving -10 + 4y = 7 + 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. -10 + 4y + -3y = 7 + 3y + -3y Combine like terms: 4y + -3y = 1y -10 + 1y = 7 + 3y + -3y Combine like terms: 3y + -3y = 0 -10 + 1y = 7 + 0 -10 + 1y = 7 Add '10' to each side of the equation. -10 + 10 + 1y = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 1y = 7 + 10 1y = 7 + 10 Combine like terms: 7 + 10 = 17 1y = 17 Divide each side by '1'. y = 17 Simplifying y = 17
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