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Simplifying -3y + 7 = 5y + -1 Reorder the terms: 7 + -3y = 5y + -1 Reorder the terms: 7 + -3y = -1 + 5y Solving 7 + -3y = -1 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 7 + -3y + -5y = -1 + 5y + -5y Combine like terms: -3y + -5y = -8y 7 + -8y = -1 + 5y + -5y Combine like terms: 5y + -5y = 0 7 + -8y = -1 + 0 7 + -8y = -1 Add '-7' to each side of the equation. 7 + -7 + -8y = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -8y = -1 + -7 -8y = -1 + -7 Combine like terms: -1 + -7 = -8 -8y = -8 Divide each side by '-8'. y = 1 Simplifying y = 1
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