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Simplifying 8(y + -6) + 2(y + 2) = 6 Reorder the terms: 8(-6 + y) + 2(y + 2) = 6 (-6 * 8 + y * 8) + 2(y + 2) = 6 (-48 + 8y) + 2(y + 2) = 6 Reorder the terms: -48 + 8y + 2(2 + y) = 6 -48 + 8y + (2 * 2 + y * 2) = 6 -48 + 8y + (4 + 2y) = 6 Reorder the terms: -48 + 4 + 8y + 2y = 6 Combine like terms: -48 + 4 = -44 -44 + 8y + 2y = 6 Combine like terms: 8y + 2y = 10y -44 + 10y = 6 Solving -44 + 10y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 10y = 6 + 44 Combine like terms: -44 + 44 = 0 0 + 10y = 6 + 44 10y = 6 + 44 Combine like terms: 6 + 44 = 50 10y = 50 Divide each side by '10'. y = 5 Simplifying y = 5
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