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Simplifying 8(y + 1) + -3(5 + -2y) = 6 + -2(Y + -1) Reorder the terms: 8(1 + y) + -3(5 + -2y) = 6 + -2(Y + -1) (1 * 8 + y * 8) + -3(5 + -2y) = 6 + -2(Y + -1) (8 + 8y) + -3(5 + -2y) = 6 + -2(Y + -1) 8 + 8y + (5 * -3 + -2y * -3) = 6 + -2(Y + -1) 8 + 8y + (-15 + 6y) = 6 + -2(Y + -1) Reorder the terms: 8 + -15 + 8y + 6y = 6 + -2(Y + -1) Combine like terms: 8 + -15 = -7 -7 + 8y + 6y = 6 + -2(Y + -1) Combine like terms: 8y + 6y = 14y -7 + 14y = 6 + -2(Y + -1) Reorder the terms: -7 + 14y = 6 + -2(-1 + Y) -7 + 14y = 6 + (-1 * -2 + Y * -2) -7 + 14y = 6 + (2 + -2Y) Combine like terms: 6 + 2 = 8 -7 + 14y = 8 + -2Y Solving -7 + 14y = 8 + -2Y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 14y = 8 + 7 + -2Y Combine like terms: -7 + 7 = 0 0 + 14y = 8 + 7 + -2Y 14y = 8 + 7 + -2Y Combine like terms: 8 + 7 = 15 14y = 15 + -2Y Divide each side by '14'. y = 1.071428571 + -0.1428571429Y Simplifying y = 1.071428571 + -0.1428571429Y
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