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Simplifying 5(3y + -1) + -1(2y) = 10 Reorder the terms: 5(-1 + 3y) + -1(2y) = 10 (-1 * 5 + 3y * 5) + -1(2y) = 10 (-5 + 15y) + -1(2y) = 10 Remove parenthesis around (2y) -5 + 15y + -1 * 2y = 10 Multiply -1 * 2 -5 + 15y + -2y = 10 Combine like terms: 15y + -2y = 13y -5 + 13y = 10 Solving -5 + 13y = 10 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 + 13y = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 13y = 10 + 5 13y = 10 + 5 Combine like terms: 10 + 5 = 15 13y = 15 Divide each side by '13'. y = 1.153846154 Simplifying y = 1.153846154
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