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