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Simplifying 49 * 2 + -4(Y + 11) = 3Y + -2 Multiply 49 * 2 98 + -4(Y + 11) = 3Y + -2 Reorder the terms: 98 + -4(11 + Y) = 3Y + -2 98 + (11 * -4 + Y * -4) = 3Y + -2 98 + (-44 + -4Y) = 3Y + -2 Combine like terms: 98 + -44 = 54 54 + -4Y = 3Y + -2 Reorder the terms: 54 + -4Y = -2 + 3Y Solving 54 + -4Y = -2 + 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. 54 + -4Y + -3Y = -2 + 3Y + -3Y Combine like terms: -4Y + -3Y = -7Y 54 + -7Y = -2 + 3Y + -3Y Combine like terms: 3Y + -3Y = 0 54 + -7Y = -2 + 0 54 + -7Y = -2 Add '-54' to each side of the equation. 54 + -54 + -7Y = -2 + -54 Combine like terms: 54 + -54 = 0 0 + -7Y = -2 + -54 -7Y = -2 + -54 Combine like terms: -2 + -54 = -56 -7Y = -56 Divide each side by '-7'. Y = 8 Simplifying Y = 8
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