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Simplifying 2y + 38 = 7y + -12 Reorder the terms: 38 + 2y = 7y + -12 Reorder the terms: 38 + 2y = -12 + 7y Solving 38 + 2y = -12 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 38 + 2y + -7y = -12 + 7y + -7y Combine like terms: 2y + -7y = -5y 38 + -5y = -12 + 7y + -7y Combine like terms: 7y + -7y = 0 38 + -5y = -12 + 0 38 + -5y = -12 Add '-38' to each side of the equation. 38 + -38 + -5y = -12 + -38 Combine like terms: 38 + -38 = 0 0 + -5y = -12 + -38 -5y = -12 + -38 Combine like terms: -12 + -38 = -50 -5y = -50 Divide each side by '-5'. y = 10 Simplifying y = 10
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