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Simplifying 4(2Y + 1) = 5(Y + -3) Reorder the terms: 4(1 + 2Y) = 5(Y + -3) (1 * 4 + 2Y * 4) = 5(Y + -3) (4 + 8Y) = 5(Y + -3) Reorder the terms: 4 + 8Y = 5(-3 + Y) 4 + 8Y = (-3 * 5 + Y * 5) 4 + 8Y = (-15 + 5Y) Solving 4 + 8Y = -15 + 5Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-5Y' to each side of the equation. 4 + 8Y + -5Y = -15 + 5Y + -5Y Combine like terms: 8Y + -5Y = 3Y 4 + 3Y = -15 + 5Y + -5Y Combine like terms: 5Y + -5Y = 0 4 + 3Y = -15 + 0 4 + 3Y = -15 Add '-4' to each side of the equation. 4 + -4 + 3Y = -15 + -4 Combine like terms: 4 + -4 = 0 0 + 3Y = -15 + -4 3Y = -15 + -4 Combine like terms: -15 + -4 = -19 3Y = -19 Divide each side by '3'. Y = -6.333333333 Simplifying Y = -6.333333333
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