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Simplifying 3[1 + 2y] = y + 2y + 4y [1 * 3 + 2y * 3] = y + 2y + 4y [3 + 6y] = y + 2y + 4y Combine like terms: y + 2y = 3y 3 + 6y = 3y + 4y Combine like terms: 3y + 4y = 7y 3 + 6y = 7y Solving 3 + 6y = 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 3 + 6y + -7y = 7y + -7y Combine like terms: 6y + -7y = -1y 3 + -1y = 7y + -7y Combine like terms: 7y + -7y = 0 3 + -1y = 0 Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3
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