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Simplifying 2(3y + -7) + 3(y + -4) = 13 Reorder the terms: 2(-7 + 3y) + 3(y + -4) = 13 (-7 * 2 + 3y * 2) + 3(y + -4) = 13 (-14 + 6y) + 3(y + -4) = 13 Reorder the terms: -14 + 6y + 3(-4 + y) = 13 -14 + 6y + (-4 * 3 + y * 3) = 13 -14 + 6y + (-12 + 3y) = 13 Reorder the terms: -14 + -12 + 6y + 3y = 13 Combine like terms: -14 + -12 = -26 -26 + 6y + 3y = 13 Combine like terms: 6y + 3y = 9y -26 + 9y = 13 Solving -26 + 9y = 13 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 + 9y = 13 + 26 Combine like terms: -26 + 26 = 0 0 + 9y = 13 + 26 9y = 13 + 26 Combine like terms: 13 + 26 = 39 9y = 39 Divide each side by '9'. y = 4.333333333 Simplifying y = 4.333333333
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