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Simplifying 7(Y + -1) = 5Y + -15 Reorder the terms: 7(-1 + Y) = 5Y + -15 (-1 * 7 + Y * 7) = 5Y + -15 (-7 + 7Y) = 5Y + -15 Reorder the terms: -7 + 7Y = -15 + 5Y Solving -7 + 7Y = -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. -7 + 7Y + -5Y = -15 + 5Y + -5Y Combine like terms: 7Y + -5Y = 2Y -7 + 2Y = -15 + 5Y + -5Y Combine like terms: 5Y + -5Y = 0 -7 + 2Y = -15 + 0 -7 + 2Y = -15 Add '7' to each side of the equation. -7 + 7 + 2Y = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 2Y = -15 + 7 2Y = -15 + 7 Combine like terms: -15 + 7 = -8 2Y = -8 Divide each side by '2'. Y = -4 Simplifying Y = -4
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