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Simplifying 2(3y + -1) + 2(y + -4) = 13 Reorder the terms: 2(-1 + 3y) + 2(y + -4) = 13 (-1 * 2 + 3y * 2) + 2(y + -4) = 13 (-2 + 6y) + 2(y + -4) = 13 Reorder the terms: -2 + 6y + 2(-4 + y) = 13 -2 + 6y + (-4 * 2 + y * 2) = 13 -2 + 6y + (-8 + 2y) = 13 Reorder the terms: -2 + -8 + 6y + 2y = 13 Combine like terms: -2 + -8 = -10 -10 + 6y + 2y = 13 Combine like terms: 6y + 2y = 8y -10 + 8y = 13 Solving -10 + 8y = 13 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 + 8y = 13 + 10 Combine like terms: -10 + 10 = 0 0 + 8y = 13 + 10 8y = 13 + 10 Combine like terms: 13 + 10 = 23 8y = 23 Divide each side by '8'. y = 2.875 Simplifying y = 2.875
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