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Simplifying 3y + 2(1 + y) = 6y 3y + (1 * 2 + y * 2) = 6y 3y + (2 + 2y) = 6y Reorder the terms: 2 + 3y + 2y = 6y Combine like terms: 3y + 2y = 5y 2 + 5y = 6y Solving 2 + 5y = 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 2 + 5y + -6y = 6y + -6y Combine like terms: 5y + -6y = -1y 2 + -1y = 6y + -6y Combine like terms: 6y + -6y = 0 2 + -1y = 0 Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2
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