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Simplifying 5y + -2 = -1(y + 5) Reorder the terms: -2 + 5y = -1(y + 5) Reorder the terms: -2 + 5y = -1(5 + y) -2 + 5y = (5 * -1 + y * -1) -2 + 5y = (-5 + -1y) Solving -2 + 5y = -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. -2 + 5y + y = -5 + -1y + y Combine like terms: 5y + y = 6y -2 + 6y = -5 + -1y + y Combine like terms: -1y + y = 0 -2 + 6y = -5 + 0 -2 + 6y = -5 Add '2' to each side of the equation. -2 + 2 + 6y = -5 + 2 Combine like terms: -2 + 2 = 0 0 + 6y = -5 + 2 6y = -5 + 2 Combine like terms: -5 + 2 = -3 6y = -3 Divide each side by '6'. y = -0.5 Simplifying y = -0.5
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