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Simplifying 2(3y + -1) + 3(y + -4) = 14 Reorder the terms: 2(-1 + 3y) + 3(y + -4) = 14 (-1 * 2 + 3y * 2) + 3(y + -4) = 14 (-2 + 6y) + 3(y + -4) = 14 Reorder the terms: -2 + 6y + 3(-4 + y) = 14 -2 + 6y + (-4 * 3 + y * 3) = 14 -2 + 6y + (-12 + 3y) = 14 Reorder the terms: -2 + -12 + 6y + 3y = 14 Combine like terms: -2 + -12 = -14 -14 + 6y + 3y = 14 Combine like terms: 6y + 3y = 9y -14 + 9y = 14 Solving -14 + 9y = 14 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 9y = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 9y = 14 + 14 9y = 14 + 14 Combine like terms: 14 + 14 = 28 9y = 28 Divide each side by '9'. y = 3.111111111 Simplifying y = 3.111111111
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