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Simplifying 7y + -1(2 + 3y) + (5 + -2y) = 4 7y + (2 * -1 + 3y * -1) + (5 + -2y) = 4 7y + (-2 + -3y) + (5 + -2y) = 4 Remove parenthesis around (5 + -2y) 7y + -2 + -3y + 5 + -2y = 4 Reorder the terms: -2 + 5 + 7y + -3y + -2y = 4 Combine like terms: -2 + 5 = 3 3 + 7y + -3y + -2y = 4 Combine like terms: 7y + -3y = 4y 3 + 4y + -2y = 4 Combine like terms: 4y + -2y = 2y 3 + 2y = 4 Solving 3 + 2y = 4 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 + 2y = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 4 + -3 2y = 4 + -3 Combine like terms: 4 + -3 = 1 2y = 1 Divide each side by '2'. y = 0.5 Simplifying y = 0.5
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