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Simplifying -6 + 5y + -7 = 5y + 1 + -2y Reorder the terms: -6 + -7 + 5y = 5y + 1 + -2y Combine like terms: -6 + -7 = -13 -13 + 5y = 5y + 1 + -2y Reorder the terms: -13 + 5y = 1 + 5y + -2y Combine like terms: 5y + -2y = 3y -13 + 5y = 1 + 3y Solving -13 + 5y = 1 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -13 + 5y + -3y = 1 + 3y + -3y Combine like terms: 5y + -3y = 2y -13 + 2y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -13 + 2y = 1 + 0 -13 + 2y = 1 Add '13' to each side of the equation. -13 + 13 + 2y = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 2y = 1 + 13 2y = 1 + 13 Combine like terms: 1 + 13 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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