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Simplifying 2(y + -5) + 6(-2 + y) = 5 Reorder the terms: 2(-5 + y) + 6(-2 + y) = 5 (-5 * 2 + y * 2) + 6(-2 + y) = 5 (-10 + 2y) + 6(-2 + y) = 5 -10 + 2y + (-2 * 6 + y * 6) = 5 -10 + 2y + (-12 + 6y) = 5 Reorder the terms: -10 + -12 + 2y + 6y = 5 Combine like terms: -10 + -12 = -22 -22 + 2y + 6y = 5 Combine like terms: 2y + 6y = 8y -22 + 8y = 5 Solving -22 + 8y = 5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 8y = 5 + 22 Combine like terms: -22 + 22 = 0 0 + 8y = 5 + 22 8y = 5 + 22 Combine like terms: 5 + 22 = 27 8y = 27 Divide each side by '8'. y = 3.375 Simplifying y = 3.375
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