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Simplifying -5(5y + 2) + -1(-4y + -4) = 1 Reorder the terms: -5(2 + 5y) + -1(-4y + -4) = 1 (2 * -5 + 5y * -5) + -1(-4y + -4) = 1 (-10 + -25y) + -1(-4y + -4) = 1 Reorder the terms: -10 + -25y + -1(-4 + -4y) = 1 -10 + -25y + (-4 * -1 + -4y * -1) = 1 -10 + -25y + (4 + 4y) = 1 Reorder the terms: -10 + 4 + -25y + 4y = 1 Combine like terms: -10 + 4 = -6 -6 + -25y + 4y = 1 Combine like terms: -25y + 4y = -21y -6 + -21y = 1 Solving -6 + -21y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -21y = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -21y = 1 + 6 -21y = 1 + 6 Combine like terms: 1 + 6 = 7 -21y = 7 Divide each side by '-21'. y = -0.3333333333 Simplifying y = -0.3333333333
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