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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) Reorder the terms: 8 + -2y = 20(-12 + -2y) 8 + -2y = (-12 * 20 + -2y * 20) 8 + -2y = (-240 + -40y) Solving 8 + -2y = -240 + -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 = -240 + -40y + 40y Combine like terms: -2y + 40y = 38y 8 + 38y = -240 + -40y + 40y Combine like terms: -40y + 40y = 0 8 + 38y = -240 + 0 8 + 38y = -240 Add '-8' to each side of the equation. 8 + -8 + 38y = -240 + -8 Combine like terms: 8 + -8 = 0 0 + 38y = -240 + -8 38y = -240 + -8 Combine like terms: -240 + -8 = -248 38y = -248 Divide each side by '38'. y = -6.526315789 Simplifying y = -6.526315789
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