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Simplifying 4(2y + -1) + 5 = 3y + 1 Reorder the terms: 4(-1 + 2y) + 5 = 3y + 1 (-1 * 4 + 2y * 4) + 5 = 3y + 1 (-4 + 8y) + 5 = 3y + 1 Reorder the terms: -4 + 5 + 8y = 3y + 1 Combine like terms: -4 + 5 = 1 1 + 8y = 3y + 1 Reorder the terms: 1 + 8y = 1 + 3y Add '-1' to each side of the equation. 1 + -1 + 8y = 1 + -1 + 3y Combine like terms: 1 + -1 = 0 0 + 8y = 1 + -1 + 3y 8y = 1 + -1 + 3y Combine like terms: 1 + -1 = 0 8y = 0 + 3y 8y = 3y Solving 8y = 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 8y + -3y = 3y + -3y Combine like terms: 8y + -3y = 5y 5y = 3y + -3y Combine like terms: 3y + -3y = 0 5y = 0 Divide each side by '5'. y = 0 Simplifying y = 0
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