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Simplifying 2y + 7 = 3y + 1 Reorder the terms: 7 + 2y = 3y + 1 Reorder the terms: 7 + 2y = 1 + 3y Solving 7 + 2y = 1 + 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. 7 + 2y + -3y = 1 + 3y + -3y Combine like terms: 2y + -3y = -1y 7 + -1y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 7 + -1y = 1 + 0 7 + -1y = 1 Add '-7' to each side of the equation. 7 + -7 + -1y = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 1 + -7 -1y = 1 + -7 Combine like terms: 1 + -7 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6
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