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Simplifying 5 + 19y + -2 = 9y + 78 + -5y Reorder the terms: 5 + -2 + 19y = 9y + 78 + -5y Combine like terms: 5 + -2 = 3 3 + 19y = 9y + 78 + -5y Reorder the terms: 3 + 19y = 78 + 9y + -5y Combine like terms: 9y + -5y = 4y 3 + 19y = 78 + 4y Solving 3 + 19y = 78 + 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 + 19y + -4y = 78 + 4y + -4y Combine like terms: 19y + -4y = 15y 3 + 15y = 78 + 4y + -4y Combine like terms: 4y + -4y = 0 3 + 15y = 78 + 0 3 + 15y = 78 Add '-3' to each side of the equation. 3 + -3 + 15y = 78 + -3 Combine like terms: 3 + -3 = 0 0 + 15y = 78 + -3 15y = 78 + -3 Combine like terms: 78 + -3 = 75 15y = 75 Divide each side by '15'. y = 5 Simplifying y = 5
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