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Simplifying (5y + 4) + -1(2 + 4y) = 6 Reorder the terms: (4 + 5y) + -1(2 + 4y) = 6 Remove parenthesis around (4 + 5y) 4 + 5y + -1(2 + 4y) = 6 4 + 5y + (2 * -1 + 4y * -1) = 6 4 + 5y + (-2 + -4y) = 6 Reorder the terms: 4 + -2 + 5y + -4y = 6 Combine like terms: 4 + -2 = 2 2 + 5y + -4y = 6 Combine like terms: 5y + -4y = 1y 2 + 1y = 6 Solving 2 + 1y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1y = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = 6 + -2 1y = 6 + -2 Combine like terms: 6 + -2 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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