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Simplifying 3y + 38 = 5(y + 6) Reorder the terms: 38 + 3y = 5(y + 6) Reorder the terms: 38 + 3y = 5(6 + y) 38 + 3y = (6 * 5 + y * 5) 38 + 3y = (30 + 5y) Solving 38 + 3y = 30 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 38 + 3y + -5y = 30 + 5y + -5y Combine like terms: 3y + -5y = -2y 38 + -2y = 30 + 5y + -5y Combine like terms: 5y + -5y = 0 38 + -2y = 30 + 0 38 + -2y = 30 Add '-38' to each side of the equation. 38 + -38 + -2y = 30 + -38 Combine like terms: 38 + -38 = 0 0 + -2y = 30 + -38 -2y = 30 + -38 Combine like terms: 30 + -38 = -8 -2y = -8 Divide each side by '-2'. y = 4 Simplifying y = 4
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