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Simplifying 4y + -2 + y = 47 + 2y + -4y Reorder the terms: -2 + 4y + y = 47 + 2y + -4y Combine like terms: 4y + y = 5y -2 + 5y = 47 + 2y + -4y Combine like terms: 2y + -4y = -2y -2 + 5y = 47 + -2y Solving -2 + 5y = 47 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -2 + 5y + 2y = 47 + -2y + 2y Combine like terms: 5y + 2y = 7y -2 + 7y = 47 + -2y + 2y Combine like terms: -2y + 2y = 0 -2 + 7y = 47 + 0 -2 + 7y = 47 Add '2' to each side of the equation. -2 + 2 + 7y = 47 + 2 Combine like terms: -2 + 2 = 0 0 + 7y = 47 + 2 7y = 47 + 2 Combine like terms: 47 + 2 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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