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Simplifying -5(y + -2y) + 4 = -5(4y + -1y) + 9 + 19y Combine like terms: y + -2y = -1y -5(-1y) + 4 = -5(4y + -1y) + 9 + 19y Remove parenthesis around (-1y) -5 * -1y + 4 = -5(4y + -1y) + 9 + 19y Multiply -5 * -1 5y + 4 = -5(4y + -1y) + 9 + 19y Reorder the terms: 4 + 5y = -5(4y + -1y) + 9 + 19y Combine like terms: 4y + -1y = 3y 4 + 5y = -5(3y) + 9 + 19y Remove parenthesis around (3y) 4 + 5y = -5 * 3y + 9 + 19y Multiply -5 * 3 4 + 5y = -15y + 9 + 19y Reorder the terms: 4 + 5y = 9 + -15y + 19y Combine like terms: -15y + 19y = 4y 4 + 5y = 9 + 4y Solving 4 + 5y = 9 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 4 + 5y + -4y = 9 + 4y + -4y Combine like terms: 5y + -4y = 1y 4 + 1y = 9 + 4y + -4y Combine like terms: 4y + -4y = 0 4 + 1y = 9 + 0 4 + 1y = 9 Add '-4' to each side of the equation. 4 + -4 + 1y = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = 9 + -4 1y = 9 + -4 Combine like terms: 9 + -4 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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