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Simplifying 52 = 3y + 4y + -3 + y + -1 Reorder the terms: 52 = -3 + -1 + 3y + 4y + y Combine like terms: -3 + -1 = -4 52 = -4 + 3y + 4y + y Combine like terms: 3y + 4y = 7y 52 = -4 + 7y + y Combine like terms: 7y + y = 8y 52 = -4 + 8y Solving 52 = -4 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 52 + -8y = -4 + 8y + -8y Combine like terms: 8y + -8y = 0 52 + -8y = -4 + 0 52 + -8y = -4 Add '-52' to each side of the equation. 52 + -52 + -8y = -4 + -52 Combine like terms: 52 + -52 = 0 0 + -8y = -4 + -52 -8y = -4 + -52 Combine like terms: -4 + -52 = -56 -8y = -56 Divide each side by '-8'. y = 7 Simplifying y = 7
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