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Simplifying 47 + -2y = 4y + -7 Reorder the terms: 47 + -2y = -7 + 4y Solving 47 + -2y = -7 + 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. 47 + -2y + -4y = -7 + 4y + -4y Combine like terms: -2y + -4y = -6y 47 + -6y = -7 + 4y + -4y Combine like terms: 4y + -4y = 0 47 + -6y = -7 + 0 47 + -6y = -7 Add '-47' to each side of the equation. 47 + -47 + -6y = -7 + -47 Combine like terms: 47 + -47 = 0 0 + -6y = -7 + -47 -6y = -7 + -47 Combine like terms: -7 + -47 = -54 -6y = -54 Divide each side by '-6'. y = 9 Simplifying y = 9
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