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Simplifying 5y + -1(6 + -1y) = 4(1 + -1y) 5y + (6 * -1 + -1y * -1) = 4(1 + -1y) 5y + (-6 + 1y) = 4(1 + -1y) Reorder the terms: -6 + 5y + 1y = 4(1 + -1y) Combine like terms: 5y + 1y = 6y -6 + 6y = 4(1 + -1y) -6 + 6y = (1 * 4 + -1y * 4) -6 + 6y = (4 + -4y) Solving -6 + 6y = 4 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -6 + 6y + 4y = 4 + -4y + 4y Combine like terms: 6y + 4y = 10y -6 + 10y = 4 + -4y + 4y Combine like terms: -4y + 4y = 0 -6 + 10y = 4 + 0 -6 + 10y = 4 Add '6' to each side of the equation. -6 + 6 + 10y = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 10y = 4 + 6 10y = 4 + 6 Combine like terms: 4 + 6 = 10 10y = 10 Divide each side by '10'. y = 1 Simplifying y = 1
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