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Simplifying 2(3y + -3) + 3(y + -4) = 13 Reorder the terms: 2(-3 + 3y) + 3(y + -4) = 13 (-3 * 2 + 3y * 2) + 3(y + -4) = 13 (-6 + 6y) + 3(y + -4) = 13 Reorder the terms: -6 + 6y + 3(-4 + y) = 13 -6 + 6y + (-4 * 3 + y * 3) = 13 -6 + 6y + (-12 + 3y) = 13 Reorder the terms: -6 + -12 + 6y + 3y = 13 Combine like terms: -6 + -12 = -18 -18 + 6y + 3y = 13 Combine like terms: 6y + 3y = 9y -18 + 9y = 13 Solving -18 + 9y = 13 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 9y = 13 + 18 Combine like terms: -18 + 18 = 0 0 + 9y = 13 + 18 9y = 13 + 18 Combine like terms: 13 + 18 = 31 9y = 31 Divide each side by '9'. y = 3.444444444 Simplifying y = 3.444444444
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