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Simplifying 4(2y + -2) + 5(3y + 4) = 0 Reorder the terms: 4(-2 + 2y) + 5(3y + 4) = 0 (-2 * 4 + 2y * 4) + 5(3y + 4) = 0 (-8 + 8y) + 5(3y + 4) = 0 Reorder the terms: -8 + 8y + 5(4 + 3y) = 0 -8 + 8y + (4 * 5 + 3y * 5) = 0 -8 + 8y + (20 + 15y) = 0 Reorder the terms: -8 + 20 + 8y + 15y = 0 Combine like terms: -8 + 20 = 12 12 + 8y + 15y = 0 Combine like terms: 8y + 15y = 23y 12 + 23y = 0 Solving 12 + 23y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 23y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 23y = 0 + -12 23y = 0 + -12 Combine like terms: 0 + -12 = -12 23y = -12 Divide each side by '23'. y = -0.5217391304 Simplifying y = -0.5217391304
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