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Simplifying 3y + 48 = 5(y + 6) Reorder the terms: 48 + 3y = 5(y + 6) Reorder the terms: 48 + 3y = 5(6 + y) 48 + 3y = (6 * 5 + y * 5) 48 + 3y = (30 + 5y) Solving 48 + 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. 48 + 3y + -5y = 30 + 5y + -5y Combine like terms: 3y + -5y = -2y 48 + -2y = 30 + 5y + -5y Combine like terms: 5y + -5y = 0 48 + -2y = 30 + 0 48 + -2y = 30 Add '-48' to each side of the equation. 48 + -48 + -2y = 30 + -48 Combine like terms: 48 + -48 = 0 0 + -2y = 30 + -48 -2y = 30 + -48 Combine like terms: 30 + -48 = -18 -2y = -18 Divide each side by '-2'. y = 9 Simplifying y = 9
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