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Simplifying 5y + -1(-1 + 0y) = -1(y + 1) + 20 Anything times zero is zero. 5y + -1(-1 + 0y) = -1(y + 1) + 20 Combine like terms: -1 + 0 = -1 5y + -1(-1) = -1(y + 1) + 20 Multiply -1 * -1 5y + 1 = -1(y + 1) + 20 Reorder the terms: 1 + 5y = -1(y + 1) + 20 Reorder the terms: 1 + 5y = -1(1 + y) + 20 1 + 5y = (1 * -1 + y * -1) + 20 1 + 5y = (-1 + -1y) + 20 Reorder the terms: 1 + 5y = -1 + 20 + -1y Combine like terms: -1 + 20 = 19 1 + 5y = 19 + -1y Solving 1 + 5y = 19 + -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. 1 + 5y + y = 19 + -1y + y Combine like terms: 5y + y = 6y 1 + 6y = 19 + -1y + y Combine like terms: -1y + y = 0 1 + 6y = 19 + 0 1 + 6y = 19 Add '-1' to each side of the equation. 1 + -1 + 6y = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 6y = 19 + -1 6y = 19 + -1 Combine like terms: 19 + -1 = 18 6y = 18 Divide each side by '6'. y = 3 Simplifying y = 3
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