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Simplifying 5(2y + -1) + -2(2y) = 1 Reorder the terms: 5(-1 + 2y) + -2(2y) = 1 (-1 * 5 + 2y * 5) + -2(2y) = 1 (-5 + 10y) + -2(2y) = 1 Remove parenthesis around (2y) -5 + 10y + -2 * 2y = 1 Multiply -2 * 2 -5 + 10y + -4y = 1 Combine like terms: 10y + -4y = 6y -5 + 6y = 1 Solving -5 + 6y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6y = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 6y = 1 + 5 6y = 1 + 5 Combine like terms: 1 + 5 = 6 6y = 6 Divide each side by '6'. y = 1 Simplifying y = 1
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