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Simplifying 7y + 2(Y * 2) = 3(Y + 1) + -2 Reorder the terms for easier multiplication: 7y + 2(2Y) = 3(Y + 1) + -2 Remove parenthesis around (2Y) 7y + 2 * 2Y = 3(Y + 1) + -2 Multiply 2 * 2 7y + 4Y = 3(Y + 1) + -2 Reorder the terms: 4Y + 7y = 3(Y + 1) + -2 Reorder the terms: 4Y + 7y = 3(1 + Y) + -2 4Y + 7y = (1 * 3 + Y * 3) + -2 4Y + 7y = (3 + 3Y) + -2 Reorder the terms: 4Y + 7y = 3 + -2 + 3Y Combine like terms: 3 + -2 = 1 4Y + 7y = 1 + 3Y Solving 4Y + 7y = 1 + 3Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-3Y' to each side of the equation. 4Y + -3Y + 7y = 1 + 3Y + -3Y Combine like terms: 4Y + -3Y = 1Y 1Y + 7y = 1 + 3Y + -3Y Combine like terms: 3Y + -3Y = 0 1Y + 7y = 1 + 0 1Y + 7y = 1 Add '-7y' to each side of the equation. 1Y + 7y + -7y = 1 + -7y Combine like terms: 7y + -7y = 0 1Y + 0 = 1 + -7y 1Y = 1 + -7y Divide each side by '1'. Y = 1 + -7y Simplifying Y = 1 + -7y
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