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Simplifying -2(y + -4) = 20(-2y) + -12 Reorder the terms: -2(-4 + y) = 20(-2y) + -12 (-4 * -2 + y * -2) = 20(-2y) + -12 (8 + -2y) = 20(-2y) + -12 Remove parenthesis around (-2y) 8 + -2y = 20 * -2y + -12 Multiply 20 * -2 8 + -2y = -40y + -12 Reorder the terms: 8 + -2y = -12 + -40y Solving 8 + -2y = -12 + -40y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '40y' to each side of the equation. 8 + -2y + 40y = -12 + -40y + 40y Combine like terms: -2y + 40y = 38y 8 + 38y = -12 + -40y + 40y Combine like terms: -40y + 40y = 0 8 + 38y = -12 + 0 8 + 38y = -12 Add '-8' to each side of the equation. 8 + -8 + 38y = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 38y = -12 + -8 38y = -12 + -8 Combine like terms: -12 + -8 = -20 38y = -20 Divide each side by '38'. y = -0.5263157895 Simplifying y = -0.5263157895
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