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Simplifying y + 2 = 5y + -4 + 3y + -1 Reorder the terms: 2 + y = 5y + -4 + 3y + -1 Reorder the terms: 2 + y = -4 + -1 + 5y + 3y Combine like terms: -4 + -1 = -5 2 + y = -5 + 5y + 3y Combine like terms: 5y + 3y = 8y 2 + y = -5 + 8y Solving 2 + y = -5 + 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. 2 + y + -8y = -5 + 8y + -8y Combine like terms: y + -8y = -7y 2 + -7y = -5 + 8y + -8y Combine like terms: 8y + -8y = 0 2 + -7y = -5 + 0 2 + -7y = -5 Add '-2' to each side of the equation. 2 + -2 + -7y = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -7y = -5 + -2 -7y = -5 + -2 Combine like terms: -5 + -2 = -7 -7y = -7 Divide each side by '-7'. y = 1 Simplifying y = 1
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