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