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Simplifying 12y + -1(5y + 8) = 3(y + -7) + 9 Reorder the terms: 12y + -1(8 + 5y) = 3(y + -7) + 9 12y + (8 * -1 + 5y * -1) = 3(y + -7) + 9 12y + (-8 + -5y) = 3(y + -7) + 9 Reorder the terms: -8 + 12y + -5y = 3(y + -7) + 9 Combine like terms: 12y + -5y = 7y -8 + 7y = 3(y + -7) + 9 Reorder the terms: -8 + 7y = 3(-7 + y) + 9 -8 + 7y = (-7 * 3 + y * 3) + 9 -8 + 7y = (-21 + 3y) + 9 Reorder the terms: -8 + 7y = -21 + 9 + 3y Combine like terms: -21 + 9 = -12 -8 + 7y = -12 + 3y Solving -8 + 7y = -12 + 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. -8 + 7y + -3y = -12 + 3y + -3y Combine like terms: 7y + -3y = 4y -8 + 4y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 4y = -12 + 0 -8 + 4y = -12 Add '8' to each side of the equation. -8 + 8 + 4y = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 4y = -12 + 8 4y = -12 + 8 Combine like terms: -12 + 8 = -4 4y = -4 Divide each side by '4'. y = -1 Simplifying y = -1
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