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Simplifying -5y + 47 = 2(y + -1) Reorder the terms: 47 + -5y = 2(y + -1) Reorder the terms: 47 + -5y = 2(-1 + y) 47 + -5y = (-1 * 2 + y * 2) 47 + -5y = (-2 + 2y) Solving 47 + -5y = -2 + 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. 47 + -5y + -2y = -2 + 2y + -2y Combine like terms: -5y + -2y = -7y 47 + -7y = -2 + 2y + -2y Combine like terms: 2y + -2y = 0 47 + -7y = -2 + 0 47 + -7y = -2 Add '-47' to each side of the equation. 47 + -47 + -7y = -2 + -47 Combine like terms: 47 + -47 = 0 0 + -7y = -2 + -47 -7y = -2 + -47 Combine like terms: -2 + -47 = -49 -7y = -49 Divide each side by '-7'. y = 7 Simplifying y = 7
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