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Simplifying 7y + -48 = -6(y + -5) Reorder the terms: -48 + 7y = -6(y + -5) Reorder the terms: -48 + 7y = -6(-5 + y) -48 + 7y = (-5 * -6 + y * -6) -48 + 7y = (30 + -6y) Solving -48 + 7y = 30 + -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 + 7y + 6y = 30 + -6y + 6y Combine like terms: 7y + 6y = 13y -48 + 13y = 30 + -6y + 6y Combine like terms: -6y + 6y = 0 -48 + 13y = 30 + 0 -48 + 13y = 30 Add '48' to each side of the equation. -48 + 48 + 13y = 30 + 48 Combine like terms: -48 + 48 = 0 0 + 13y = 30 + 48 13y = 30 + 48 Combine like terms: 30 + 48 = 78 13y = 78 Divide each side by '13'. y = 6 Simplifying y = 6
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