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Simplifying -4y + -5 + y = 7(7 + -7y) + 6(1 + 6y) Reorder the terms: -5 + -4y + y = 7(7 + -7y) + 6(1 + 6y) Combine like terms: -4y + y = -3y -5 + -3y = 7(7 + -7y) + 6(1 + 6y) -5 + -3y = (7 * 7 + -7y * 7) + 6(1 + 6y) -5 + -3y = (49 + -49y) + 6(1 + 6y) -5 + -3y = 49 + -49y + (1 * 6 + 6y * 6) -5 + -3y = 49 + -49y + (6 + 36y) Reorder the terms: -5 + -3y = 49 + 6 + -49y + 36y Combine like terms: 49 + 6 = 55 -5 + -3y = 55 + -49y + 36y Combine like terms: -49y + 36y = -13y -5 + -3y = 55 + -13y Solving -5 + -3y = 55 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. -5 + -3y + 13y = 55 + -13y + 13y Combine like terms: -3y + 13y = 10y -5 + 10y = 55 + -13y + 13y Combine like terms: -13y + 13y = 0 -5 + 10y = 55 + 0 -5 + 10y = 55 Add '5' to each side of the equation. -5 + 5 + 10y = 55 + 5 Combine like terms: -5 + 5 = 0 0 + 10y = 55 + 5 10y = 55 + 5 Combine like terms: 55 + 5 = 60 10y = 60 Divide each side by '10'. y = 6 Simplifying y = 6
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