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Simplifying 3y + 1 = 7y + -7 Reorder the terms: 1 + 3y = 7y + -7 Reorder the terms: 1 + 3y = -7 + 7y Solving 1 + 3y = -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. 1 + 3y + -7y = -7 + 7y + -7y Combine like terms: 3y + -7y = -4y 1 + -4y = -7 + 7y + -7y Combine like terms: 7y + -7y = 0 1 + -4y = -7 + 0 1 + -4y = -7 Add '-1' to each side of the equation. 1 + -1 + -4y = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = -7 + -1 -4y = -7 + -1 Combine like terms: -7 + -1 = -8 -4y = -8 Divide each side by '-4'. y = 2 Simplifying y = 2
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