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Simplifying 17y + 38 = 42y + 13 Reorder the terms: 38 + 17y = 42y + 13 Reorder the terms: 38 + 17y = 13 + 42y Solving 38 + 17y = 13 + 42y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42y' to each side of the equation. 38 + 17y + -42y = 13 + 42y + -42y Combine like terms: 17y + -42y = -25y 38 + -25y = 13 + 42y + -42y Combine like terms: 42y + -42y = 0 38 + -25y = 13 + 0 38 + -25y = 13 Add '-38' to each side of the equation. 38 + -38 + -25y = 13 + -38 Combine like terms: 38 + -38 = 0 0 + -25y = 13 + -38 -25y = 13 + -38 Combine like terms: 13 + -38 = -25 -25y = -25 Divide each side by '-25'. y = 1 Simplifying y = 1
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