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Simplifying 30y + -1(-1y + 6y) + (-5y + 4) = -1(5y + 6) + (-8 + 3y) Combine like terms: -1y + 6y = 5y 30y + -1(5y) + (-5y + 4) = -1(5y + 6) + (-8 + 3y) Remove parenthesis around (5y) 30y + -1 * 5y + (-5y + 4) = -1(5y + 6) + (-8 + 3y) Multiply -1 * 5 30y + -5y + (-5y + 4) = -1(5y + 6) + (-8 + 3y) Reorder the terms: 30y + -5y + (4 + -5y) = -1(5y + 6) + (-8 + 3y) Remove parenthesis around (4 + -5y) 30y + -5y + 4 + -5y = -1(5y + 6) + (-8 + 3y) Reorder the terms: 4 + 30y + -5y + -5y = -1(5y + 6) + (-8 + 3y) Combine like terms: 30y + -5y = 25y 4 + 25y + -5y = -1(5y + 6) + (-8 + 3y) Combine like terms: 25y + -5y = 20y 4 + 20y = -1(5y + 6) + (-8 + 3y) Reorder the terms: 4 + 20y = -1(6 + 5y) + (-8 + 3y) 4 + 20y = (6 * -1 + 5y * -1) + (-8 + 3y) 4 + 20y = (-6 + -5y) + (-8 + 3y) Remove parenthesis around (-8 + 3y) 4 + 20y = -6 + -5y + -8 + 3y Reorder the terms: 4 + 20y = -6 + -8 + -5y + 3y Combine like terms: -6 + -8 = -14 4 + 20y = -14 + -5y + 3y Combine like terms: -5y + 3y = -2y 4 + 20y = -14 + -2y Solving 4 + 20y = -14 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 4 + 20y + 2y = -14 + -2y + 2y Combine like terms: 20y + 2y = 22y 4 + 22y = -14 + -2y + 2y Combine like terms: -2y + 2y = 0 4 + 22y = -14 + 0 4 + 22y = -14 Add '-4' to each side of the equation. 4 + -4 + 22y = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 22y = -14 + -4 22y = -14 + -4 Combine like terms: -14 + -4 = -18 22y = -18 Divide each side by '22'. y = -0.8181818182 Simplifying y = -0.8181818182
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