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Simplifying 2(y + -5) + -7(6 + -1Y) = 2 Reorder the terms: 2(-5 + y) + -7(6 + -1Y) = 2 (-5 * 2 + y * 2) + -7(6 + -1Y) = 2 (-10 + 2y) + -7(6 + -1Y) = 2 -10 + 2y + (6 * -7 + -1Y * -7) = 2 -10 + 2y + (-42 + 7Y) = 2 Reorder the terms: -10 + -42 + 7Y + 2y = 2 Combine like terms: -10 + -42 = -52 -52 + 7Y + 2y = 2 Solving -52 + 7Y + 2y = 2 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 7Y + 52 + 2y = 2 + 52 Reorder the terms: -52 + 52 + 7Y + 2y = 2 + 52 Combine like terms: -52 + 52 = 0 0 + 7Y + 2y = 2 + 52 7Y + 2y = 2 + 52 Combine like terms: 2 + 52 = 54 7Y + 2y = 54 Add '-2y' to each side of the equation. 7Y + 2y + -2y = 54 + -2y Combine like terms: 2y + -2y = 0 7Y + 0 = 54 + -2y 7Y = 54 + -2y Divide each side by '7'. Y = 7.714285714 + -0.2857142857y Simplifying Y = 7.714285714 + -0.2857142857y
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