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Simplifying 2 + -4(y + 6) = y + 6(y + -3) + 8 Reorder the terms: 2 + -4(6 + y) = y + 6(y + -3) + 8 2 + (6 * -4 + y * -4) = y + 6(y + -3) + 8 2 + (-24 + -4y) = y + 6(y + -3) + 8 Combine like terms: 2 + -24 = -22 -22 + -4y = y + 6(y + -3) + 8 Reorder the terms: -22 + -4y = y + 6(-3 + y) + 8 -22 + -4y = y + (-3 * 6 + y * 6) + 8 -22 + -4y = y + (-18 + 6y) + 8 Reorder the terms: -22 + -4y = -18 + 8 + y + 6y Combine like terms: -18 + 8 = -10 -22 + -4y = -10 + y + 6y Combine like terms: y + 6y = 7y -22 + -4y = -10 + 7y Solving -22 + -4y = -10 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -22 + -4y + -7y = -10 + 7y + -7y Combine like terms: -4y + -7y = -11y -22 + -11y = -10 + 7y + -7y Combine like terms: 7y + -7y = 0 -22 + -11y = -10 + 0 -22 + -11y = -10 Add '22' to each side of the equation. -22 + 22 + -11y = -10 + 22 Combine like terms: -22 + 22 = 0 0 + -11y = -10 + 22 -11y = -10 + 22 Combine like terms: -10 + 22 = 12 -11y = 12 Divide each side by '-11'. y = -1.090909091 Simplifying y = -1.090909091
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