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Simplifying 2(4y + -7) + -4(y + -6) = 0 Reorder the terms: 2(-7 + 4y) + -4(y + -6) = 0 (-7 * 2 + 4y * 2) + -4(y + -6) = 0 (-14 + 8y) + -4(y + -6) = 0 Reorder the terms: -14 + 8y + -4(-6 + y) = 0 -14 + 8y + (-6 * -4 + y * -4) = 0 -14 + 8y + (24 + -4y) = 0 Reorder the terms: -14 + 24 + 8y + -4y = 0 Combine like terms: -14 + 24 = 10 10 + 8y + -4y = 0 Combine like terms: 8y + -4y = 4y 10 + 4y = 0 Solving 10 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 4y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4y = 0 + -10 4y = 0 + -10 Combine like terms: 0 + -10 = -10 4y = -10 Divide each side by '4'. y = -2.5 Simplifying y = -2.5
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