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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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