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Simplifying -5(y + -2y) + 3 = -3(6y + -1y) + 4 + 19y Combine like terms: y + -2y = -1y -5(-1y) + 3 = -3(6y + -1y) + 4 + 19y Remove parenthesis around (-1y) -5 * -1y + 3 = -3(6y + -1y) + 4 + 19y Multiply -5 * -1 5y + 3 = -3(6y + -1y) + 4 + 19y Reorder the terms: 3 + 5y = -3(6y + -1y) + 4 + 19y Combine like terms: 6y + -1y = 5y 3 + 5y = -3(5y) + 4 + 19y Remove parenthesis around (5y) 3 + 5y = -3 * 5y + 4 + 19y Multiply -3 * 5 3 + 5y = -15y + 4 + 19y Reorder the terms: 3 + 5y = 4 + -15y + 19y Combine like terms: -15y + 19y = 4y 3 + 5y = 4 + 4y Solving 3 + 5y = 4 + 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. 3 + 5y + -4y = 4 + 4y + -4y Combine like terms: 5y + -4y = 1y 3 + 1y = 4 + 4y + -4y Combine like terms: 4y + -4y = 0 3 + 1y = 4 + 0 3 + 1y = 4 Add '-3' to each side of the equation. 3 + -3 + 1y = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = 4 + -3 1y = 4 + -3 Combine like terms: 4 + -3 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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