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Simplifying 8 + 19y + -2 = 7y + 38 + -4y Reorder the terms: 8 + -2 + 19y = 7y + 38 + -4y Combine like terms: 8 + -2 = 6 6 + 19y = 7y + 38 + -4y Reorder the terms: 6 + 19y = 38 + 7y + -4y Combine like terms: 7y + -4y = 3y 6 + 19y = 38 + 3y Solving 6 + 19y = 38 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 6 + 19y + -3y = 38 + 3y + -3y Combine like terms: 19y + -3y = 16y 6 + 16y = 38 + 3y + -3y Combine like terms: 3y + -3y = 0 6 + 16y = 38 + 0 6 + 16y = 38 Add '-6' to each side of the equation. 6 + -6 + 16y = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 16y = 38 + -6 16y = 38 + -6 Combine like terms: 38 + -6 = 32 16y = 32 Divide each side by '16'. y = 2 Simplifying y = 2
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