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Simplifying 7(y + -2) + 3(y + -4) = 0 Reorder the terms: 7(-2 + y) + 3(y + -4) = 0 (-2 * 7 + y * 7) + 3(y + -4) = 0 (-14 + 7y) + 3(y + -4) = 0 Reorder the terms: -14 + 7y + 3(-4 + y) = 0 -14 + 7y + (-4 * 3 + y * 3) = 0 -14 + 7y + (-12 + 3y) = 0 Reorder the terms: -14 + -12 + 7y + 3y = 0 Combine like terms: -14 + -12 = -26 -26 + 7y + 3y = 0 Combine like terms: 7y + 3y = 10y -26 + 10y = 0 Solving -26 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 10y = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 10y = 0 + 26 10y = 0 + 26 Combine like terms: 0 + 26 = 26 10y = 26 Divide each side by '10'. y = 2.6 Simplifying y = 2.6
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