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Simplifying -7y + 11 = 6(y + 4) Reorder the terms: 11 + -7y = 6(y + 4) Reorder the terms: 11 + -7y = 6(4 + y) 11 + -7y = (4 * 6 + y * 6) 11 + -7y = (24 + 6y) Solving 11 + -7y = 24 + 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. 11 + -7y + -6y = 24 + 6y + -6y Combine like terms: -7y + -6y = -13y 11 + -13y = 24 + 6y + -6y Combine like terms: 6y + -6y = 0 11 + -13y = 24 + 0 11 + -13y = 24 Add '-11' to each side of the equation. 11 + -11 + -13y = 24 + -11 Combine like terms: 11 + -11 = 0 0 + -13y = 24 + -11 -13y = 24 + -11 Combine like terms: 24 + -11 = 13 -13y = 13 Divide each side by '-13'. y = -1 Simplifying y = -1
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