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Simplifying 5y + 38 = 7(y + 6) Reorder the terms: 38 + 5y = 7(y + 6) Reorder the terms: 38 + 5y = 7(6 + y) 38 + 5y = (6 * 7 + y * 7) 38 + 5y = (42 + 7y) Solving 38 + 5y = 42 + 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 + 5y + -7y = 42 + 7y + -7y Combine like terms: 5y + -7y = -2y 38 + -2y = 42 + 7y + -7y Combine like terms: 7y + -7y = 0 38 + -2y = 42 + 0 38 + -2y = 42 Add '-38' to each side of the equation. 38 + -38 + -2y = 42 + -38 Combine like terms: 38 + -38 = 0 0 + -2y = 42 + -38 -2y = 42 + -38 Combine like terms: 42 + -38 = 4 -2y = 4 Divide each side by '-2'. y = -2 Simplifying y = -2
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