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Simplifying 2y + 1 = 3y + 4(y + -1) Reorder the terms: 1 + 2y = 3y + 4(y + -1) Reorder the terms: 1 + 2y = 3y + 4(-1 + y) 1 + 2y = 3y + (-1 * 4 + y * 4) 1 + 2y = 3y + (-4 + 4y) Reorder the terms: 1 + 2y = -4 + 3y + 4y Combine like terms: 3y + 4y = 7y 1 + 2y = -4 + 7y Solving 1 + 2y = -4 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 1 + 2y + -7y = -4 + 7y + -7y Combine like terms: 2y + -7y = -5y 1 + -5y = -4 + 7y + -7y Combine like terms: 7y + -7y = 0 1 + -5y = -4 + 0 1 + -5y = -4 Add '-1' to each side of the equation. 1 + -1 + -5y = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -5y = -4 + -1 -5y = -4 + -1 Combine like terms: -4 + -1 = -5 -5y = -5 Divide each side by '-5'. y = 1 Simplifying y = 1
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