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Simplifying 2 + -2(y + 5) = 6 + 4y Reorder the terms: 2 + -2(5 + y) = 6 + 4y 2 + (5 * -2 + y * -2) = 6 + 4y 2 + (-10 + -2y) = 6 + 4y Combine like terms: 2 + -10 = -8 -8 + -2y = 6 + 4y Solving -8 + -2y = 6 + 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. -8 + -2y + -4y = 6 + 4y + -4y Combine like terms: -2y + -4y = -6y -8 + -6y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 -8 + -6y = 6 + 0 -8 + -6y = 6 Add '8' to each side of the equation. -8 + 8 + -6y = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -6y = 6 + 8 -6y = 6 + 8 Combine like terms: 6 + 8 = 14 -6y = 14 Divide each side by '-6'. y = -2.333333333 Simplifying y = -2.333333333
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