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Simplifying 6 + -2(-5y + 9) = -1(4y + -6) + -2 Reorder the terms: 6 + -2(9 + -5y) = -1(4y + -6) + -2 6 + (9 * -2 + -5y * -2) = -1(4y + -6) + -2 6 + (-18 + 10y) = -1(4y + -6) + -2 Combine like terms: 6 + -18 = -12 -12 + 10y = -1(4y + -6) + -2 Reorder the terms: -12 + 10y = -1(-6 + 4y) + -2 -12 + 10y = (-6 * -1 + 4y * -1) + -2 -12 + 10y = (6 + -4y) + -2 Reorder the terms: -12 + 10y = 6 + -2 + -4y Combine like terms: 6 + -2 = 4 -12 + 10y = 4 + -4y Solving -12 + 10y = 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. -12 + 10y + 4y = 4 + -4y + 4y Combine like terms: 10y + 4y = 14y -12 + 14y = 4 + -4y + 4y Combine like terms: -4y + 4y = 0 -12 + 14y = 4 + 0 -12 + 14y = 4 Add '12' to each side of the equation. -12 + 12 + 14y = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 14y = 4 + 12 14y = 4 + 12 Combine like terms: 4 + 12 = 16 14y = 16 Divide each side by '14'. y = 1.142857143 Simplifying y = 1.142857143
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