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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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