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Simplifying -2(5y + 1) = -4(y + 6) + -2 Reorder the terms: -2(1 + 5y) = -4(y + 6) + -2 (1 * -2 + 5y * -2) = -4(y + 6) + -2 (-2 + -10y) = -4(y + 6) + -2 Reorder the terms: -2 + -10y = -4(6 + y) + -2 -2 + -10y = (6 * -4 + y * -4) + -2 -2 + -10y = (-24 + -4y) + -2 Reorder the terms: -2 + -10y = -24 + -2 + -4y Combine like terms: -24 + -2 = -26 -2 + -10y = -26 + -4y Solving -2 + -10y = -26 + -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. -2 + -10y + 4y = -26 + -4y + 4y Combine like terms: -10y + 4y = -6y -2 + -6y = -26 + -4y + 4y Combine like terms: -4y + 4y = 0 -2 + -6y = -26 + 0 -2 + -6y = -26 Add '2' to each side of the equation. -2 + 2 + -6y = -26 + 2 Combine like terms: -2 + 2 = 0 0 + -6y = -26 + 2 -6y = -26 + 2 Combine like terms: -26 + 2 = -24 -6y = -24 Divide each side by '-6'. y = 4 Simplifying y = 4
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