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Simplifying -2y + 1 = 5(y + -4) Reorder the terms: 1 + -2y = 5(y + -4) Reorder the terms: 1 + -2y = 5(-4 + y) 1 + -2y = (-4 * 5 + y * 5) 1 + -2y = (-20 + 5y) Solving 1 + -2y = -20 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 1 + -2y + -5y = -20 + 5y + -5y Combine like terms: -2y + -5y = -7y 1 + -7y = -20 + 5y + -5y Combine like terms: 5y + -5y = 0 1 + -7y = -20 + 0 1 + -7y = -20 Add '-1' to each side of the equation. 1 + -1 + -7y = -20 + -1 Combine like terms: 1 + -1 = 0 0 + -7y = -20 + -1 -7y = -20 + -1 Combine like terms: -20 + -1 = -21 -7y = -21 Divide each side by '-7'. y = 3 Simplifying y = 3
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