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Simplifying 8 + 3y + -7 = 7y + 4 + -3y Reorder the terms: 8 + -7 + 3y = 7y + 4 + -3y Combine like terms: 8 + -7 = 1 1 + 3y = 7y + 4 + -3y Reorder the terms: 1 + 3y = 4 + 7y + -3y Combine like terms: 7y + -3y = 4y 1 + 3y = 4 + 4y Solving 1 + 3y = 4 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 1 + 3y + -4y = 4 + 4y + -4y Combine like terms: 3y + -4y = -1y 1 + -1y = 4 + 4y + -4y Combine like terms: 4y + -4y = 0 1 + -1y = 4 + 0 1 + -1y = 4 Add '-1' to each side of the equation. 1 + -1 + -1y = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 4 + -1 -1y = 4 + -1 Combine like terms: 4 + -1 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3
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