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Simplifying 9y + -48 = -6(y + 3) Reorder the terms: -48 + 9y = -6(y + 3) Reorder the terms: -48 + 9y = -6(3 + y) -48 + 9y = (3 * -6 + y * -6) -48 + 9y = (-18 + -6y) Solving -48 + 9y = -18 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -48 + 9y + 6y = -18 + -6y + 6y Combine like terms: 9y + 6y = 15y -48 + 15y = -18 + -6y + 6y Combine like terms: -6y + 6y = 0 -48 + 15y = -18 + 0 -48 + 15y = -18 Add '48' to each side of the equation. -48 + 48 + 15y = -18 + 48 Combine like terms: -48 + 48 = 0 0 + 15y = -18 + 48 15y = -18 + 48 Combine like terms: -18 + 48 = 30 15y = 30 Divide each side by '15'. y = 2 Simplifying y = 2
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