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