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Simplifying 7x + 5(Y + -3) = 3X + -2 Reorder the terms: 7x + 5(-3 + Y) = 3X + -2 7x + (-3 * 5 + Y * 5) = 3X + -2 7x + (-15 + 5Y) = 3X + -2 Reorder the terms: -15 + 5Y + 7x = 3X + -2 Reorder the terms: -15 + 5Y + 7x = -2 + 3X Solving -15 + 5Y + 7x = -2 + 3X Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 5Y + 15 + 7x = -2 + 15 + 3X Reorder the terms: -15 + 15 + 5Y + 7x = -2 + 15 + 3X Combine like terms: -15 + 15 = 0 0 + 5Y + 7x = -2 + 15 + 3X 5Y + 7x = -2 + 15 + 3X Combine like terms: -2 + 15 = 13 5Y + 7x = 13 + 3X Add '-7x' to each side of the equation. 5Y + 7x + -7x = 13 + 3X + -7x Combine like terms: 7x + -7x = 0 5Y + 0 = 13 + 3X + -7x 5Y = 13 + 3X + -7x Divide each side by '5'. Y = 2.6 + 0.6X + -1.4x Simplifying Y = 2.6 + 0.6X + -1.4x
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