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Simplifying 7y + 5 + -3y + 1 = 2y + 2 Reorder the terms: 5 + 1 + 7y + -3y = 2y + 2 Combine like terms: 5 + 1 = 6 6 + 7y + -3y = 2y + 2 Combine like terms: 7y + -3y = 4y 6 + 4y = 2y + 2 Reorder the terms: 6 + 4y = 2 + 2y Solving 6 + 4y = 2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 6 + 4y + -2y = 2 + 2y + -2y Combine like terms: 4y + -2y = 2y 6 + 2y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 6 + 2y = 2 + 0 6 + 2y = 2 Add '-6' to each side of the equation. 6 + -6 + 2y = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 2y = 2 + -6 2y = 2 + -6 Combine like terms: 2 + -6 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
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