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Simplifying 9y + -48 = 3(y + -2) Reorder the terms: -48 + 9y = 3(y + -2) Reorder the terms: -48 + 9y = 3(-2 + y) -48 + 9y = (-2 * 3 + y * 3) -48 + 9y = (-6 + 3y) Solving -48 + 9y = -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 + 9y + -3y = -6 + 3y + -3y Combine like terms: 9y + -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 = 42 6y = 42 Divide each side by '6'. y = 7 Simplifying y = 7
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