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Simplifying 5(2y + -1) + -1(2y) = 1 Reorder the terms: 5(-1 + 2y) + -1(2y) = 1 (-1 * 5 + 2y * 5) + -1(2y) = 1 (-5 + 10y) + -1(2y) = 1 Remove parenthesis around (2y) -5 + 10y + -1 * 2y = 1 Multiply -1 * 2 -5 + 10y + -2y = 1 Combine like terms: 10y + -2y = 8y -5 + 8y = 1 Solving -5 + 8y = 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 + 8y = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 8y = 1 + 5 8y = 1 + 5 Combine like terms: 1 + 5 = 6 8y = 6 Divide each side by '8'. y = 0.75 Simplifying y = 0.75
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