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Simplifying 3y + 48 = -3(y + 2) Reorder the terms: 48 + 3y = -3(y + 2) Reorder the terms: 48 + 3y = -3(2 + y) 48 + 3y = (2 * -3 + y * -3) 48 + 3y = (-6 + -3y) Solving 48 + 3y = -6 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 48 + 3y + 3y = -6 + -3y + 3y Combine like terms: 3y + 3y = 6y 48 + 6y = -6 + -3y + 3y Combine like terms: -3y + 3y = 0 48 + 6y = -6 + 0 48 + 6y = -6 Add '-48' to each side of the equation. 48 + -48 + 6y = -6 + -48 Combine like terms: 48 + -48 = 0 0 + 6y = -6 + -48 6y = -6 + -48 Combine like terms: -6 + -48 = -54 6y = -54 Divide each side by '6'. y = -9 Simplifying y = -9
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