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Simplifying 8y + -1(5y + 12) = 2 + -1(7y + -7) Reorder the terms: 8y + -1(12 + 5y) = 2 + -1(7y + -7) 8y + (12 * -1 + 5y * -1) = 2 + -1(7y + -7) 8y + (-12 + -5y) = 2 + -1(7y + -7) Reorder the terms: -12 + 8y + -5y = 2 + -1(7y + -7) Combine like terms: 8y + -5y = 3y -12 + 3y = 2 + -1(7y + -7) Reorder the terms: -12 + 3y = 2 + -1(-7 + 7y) -12 + 3y = 2 + (-7 * -1 + 7y * -1) -12 + 3y = 2 + (7 + -7y) Combine like terms: 2 + 7 = 9 -12 + 3y = 9 + -7y Solving -12 + 3y = 9 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -12 + 3y + 7y = 9 + -7y + 7y Combine like terms: 3y + 7y = 10y -12 + 10y = 9 + -7y + 7y Combine like terms: -7y + 7y = 0 -12 + 10y = 9 + 0 -12 + 10y = 9 Add '12' to each side of the equation. -12 + 12 + 10y = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 10y = 9 + 12 10y = 9 + 12 Combine like terms: 9 + 12 = 21 10y = 21 Divide each side by '10'. y = 2.1 Simplifying y = 2.1
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