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Simplifying 4y + 1 = -5(y + -2) Reorder the terms: 1 + 4y = -5(y + -2) Reorder the terms: 1 + 4y = -5(-2 + y) 1 + 4y = (-2 * -5 + y * -5) 1 + 4y = (10 + -5y) Solving 1 + 4y = 10 + -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 + 4y + 5y = 10 + -5y + 5y Combine like terms: 4y + 5y = 9y 1 + 9y = 10 + -5y + 5y Combine like terms: -5y + 5y = 0 1 + 9y = 10 + 0 1 + 9y = 10 Add '-1' to each side of the equation. 1 + -1 + 9y = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 9y = 10 + -1 9y = 10 + -1 Combine like terms: 10 + -1 = 9 9y = 9 Divide each side by '9'. y = 1 Simplifying y = 1
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