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Simplifying 7y + -1(3y + 12) = 8 + -1(5y + -2) Reorder the terms: 7y + -1(12 + 3y) = 8 + -1(5y + -2) 7y + (12 * -1 + 3y * -1) = 8 + -1(5y + -2) 7y + (-12 + -3y) = 8 + -1(5y + -2) Reorder the terms: -12 + 7y + -3y = 8 + -1(5y + -2) Combine like terms: 7y + -3y = 4y -12 + 4y = 8 + -1(5y + -2) Reorder the terms: -12 + 4y = 8 + -1(-2 + 5y) -12 + 4y = 8 + (-2 * -1 + 5y * -1) -12 + 4y = 8 + (2 + -5y) Combine like terms: 8 + 2 = 10 -12 + 4y = 10 + -5y Solving -12 + 4y = 10 + -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. -12 + 4y + 5y = 10 + -5y + 5y Combine like terms: 4y + 5y = 9y -12 + 9y = 10 + -5y + 5y Combine like terms: -5y + 5y = 0 -12 + 9y = 10 + 0 -12 + 9y = 10 Add '12' to each side of the equation. -12 + 12 + 9y = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 9y = 10 + 12 9y = 10 + 12 Combine like terms: 10 + 12 = 22 9y = 22 Divide each side by '9'. y = 2.444444444 Simplifying y = 2.444444444
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