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