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Simplifying (5y + 6) + -1(3 + 4y) = 7 Reorder the terms: (6 + 5y) + -1(3 + 4y) = 7 Remove parenthesis around (6 + 5y) 6 + 5y + -1(3 + 4y) = 7 6 + 5y + (3 * -1 + 4y * -1) = 7 6 + 5y + (-3 + -4y) = 7 Reorder the terms: 6 + -3 + 5y + -4y = 7 Combine like terms: 6 + -3 = 3 3 + 5y + -4y = 7 Combine like terms: 5y + -4y = 1y 3 + 1y = 7 Solving 3 + 1y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1y = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = 7 + -3 1y = 7 + -3 Combine like terms: 7 + -3 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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