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Simplifying 5 = 5(y + -1) + 1 + -4y Reorder the terms: 5 = 5(-1 + y) + 1 + -4y 5 = (-1 * 5 + y * 5) + 1 + -4y 5 = (-5 + 5y) + 1 + -4y Reorder the terms: 5 = -5 + 1 + 5y + -4y Combine like terms: -5 + 1 = -4 5 = -4 + 5y + -4y Combine like terms: 5y + -4y = 1y 5 = -4 + 1y Solving 5 = -4 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 5 + -1y = -4 + 1y + -1y Combine like terms: 1y + -1y = 0 5 + -1y = -4 + 0 5 + -1y = -4 Add '-5' to each side of the equation. 5 + -5 + -1y = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = -4 + -5 -1y = -4 + -5 Combine like terms: -4 + -5 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9
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