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Simplifying 7(y + -1) + 2y = 6y + 7 + y Reorder the terms: 7(-1 + y) + 2y = 6y + 7 + y (-1 * 7 + y * 7) + 2y = 6y + 7 + y (-7 + 7y) + 2y = 6y + 7 + y Combine like terms: 7y + 2y = 9y -7 + 9y = 6y + 7 + y Reorder the terms: -7 + 9y = 7 + 6y + y Combine like terms: 6y + y = 7y -7 + 9y = 7 + 7y Solving -7 + 9y = 7 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -7 + 9y + -7y = 7 + 7y + -7y Combine like terms: 9y + -7y = 2y -7 + 2y = 7 + 7y + -7y Combine like terms: 7y + -7y = 0 -7 + 2y = 7 + 0 -7 + 2y = 7 Add '7' to each side of the equation. -7 + 7 + 2y = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 2y = 7 + 7 2y = 7 + 7 Combine like terms: 7 + 7 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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