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Simplifying 5(3y + -1) + -3(2y) = 19 Reorder the terms: 5(-1 + 3y) + -3(2y) = 19 (-1 * 5 + 3y * 5) + -3(2y) = 19 (-5 + 15y) + -3(2y) = 19 Remove parenthesis around (2y) -5 + 15y + -3 * 2y = 19 Multiply -3 * 2 -5 + 15y + -6y = 19 Combine like terms: 15y + -6y = 9y -5 + 9y = 19 Solving -5 + 9y = 19 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 + 9y = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 9y = 19 + 5 9y = 19 + 5 Combine like terms: 19 + 5 = 24 9y = 24 Divide each side by '9'. y = 2.666666667 Simplifying y = 2.666666667
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