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Simplifying 5(3y + -1) + -3(2y) = y Reorder the terms: 5(-1 + 3y) + -3(2y) = y (-1 * 5 + 3y * 5) + -3(2y) = y (-5 + 15y) + -3(2y) = y Remove parenthesis around (2y) -5 + 15y + -3 * 2y = y Multiply -3 * 2 -5 + 15y + -6y = y Combine like terms: 15y + -6y = 9y -5 + 9y = y Solving -5 + 9y = y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -5 + 9y + -1y = y + -1y Combine like terms: 9y + -1y = 8y -5 + 8y = y + -1y Combine like terms: y + -1y = 0 -5 + 8y = 0 Add '5' to each side of the equation. -5 + 5 + 8y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8y = 0 + 5 8y = 0 + 5 Combine like terms: 0 + 5 = 5 8y = 5 Divide each side by '8'. y = 0.625 Simplifying y = 0.625
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