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Simplifying 9y + 48 = 2(y + 3) Reorder the terms: 48 + 9y = 2(y + 3) Reorder the terms: 48 + 9y = 2(3 + y) 48 + 9y = (3 * 2 + y * 2) 48 + 9y = (6 + 2y) Solving 48 + 9y = 6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 48 + 9y + -2y = 6 + 2y + -2y Combine like terms: 9y + -2y = 7y 48 + 7y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 48 + 7y = 6 + 0 48 + 7y = 6 Add '-48' to each side of the equation. 48 + -48 + 7y = 6 + -48 Combine like terms: 48 + -48 = 0 0 + 7y = 6 + -48 7y = 6 + -48 Combine like terms: 6 + -48 = -42 7y = -42 Divide each side by '7'. y = -6 Simplifying y = -6
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