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Simplifying (3y + 6) = (4y + 7) Reorder the terms: (6 + 3y) = (4y + 7) Remove parenthesis around (6 + 3y) 6 + 3y = (4y + 7) Reorder the terms: 6 + 3y = (7 + 4y) Remove parenthesis around (7 + 4y) 6 + 3y = 7 + 4y Solving 6 + 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. 6 + 3y + -4y = 7 + 4y + -4y Combine like terms: 3y + -4y = -1y 6 + -1y = 7 + 4y + -4y Combine like terms: 4y + -4y = 0 6 + -1y = 7 + 0 6 + -1y = 7 Add '-6' to each side of the equation. 6 + -6 + -1y = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 7 + -6 -1y = 7 + -6 Combine like terms: 7 + -6 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1
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