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