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Simplifying 3(y + -4) + 5(y + 2) = 38 Reorder the terms: 3(-4 + y) + 5(y + 2) = 38 (-4 * 3 + y * 3) + 5(y + 2) = 38 (-12 + 3y) + 5(y + 2) = 38 Reorder the terms: -12 + 3y + 5(2 + y) = 38 -12 + 3y + (2 * 5 + y * 5) = 38 -12 + 3y + (10 + 5y) = 38 Reorder the terms: -12 + 10 + 3y + 5y = 38 Combine like terms: -12 + 10 = -2 -2 + 3y + 5y = 38 Combine like terms: 3y + 5y = 8y -2 + 8y = 38 Solving -2 + 8y = 38 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8y = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 8y = 38 + 2 8y = 38 + 2 Combine like terms: 38 + 2 = 40 8y = 40 Divide each side by '8'. y = 5 Simplifying y = 5
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