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Simplifying 2(y + -5) + -4(2y + 3) = 0 Reorder the terms: 2(-5 + y) + -4(2y + 3) = 0 (-5 * 2 + y * 2) + -4(2y + 3) = 0 (-10 + 2y) + -4(2y + 3) = 0 Reorder the terms: -10 + 2y + -4(3 + 2y) = 0 -10 + 2y + (3 * -4 + 2y * -4) = 0 -10 + 2y + (-12 + -8y) = 0 Reorder the terms: -10 + -12 + 2y + -8y = 0 Combine like terms: -10 + -12 = -22 -22 + 2y + -8y = 0 Combine like terms: 2y + -8y = -6y -22 + -6y = 0 Solving -22 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -6y = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -6y = 0 + 22 -6y = 0 + 22 Combine like terms: 0 + 22 = 22 -6y = 22 Divide each side by '-6'. y = -3.666666667 Simplifying y = -3.666666667
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