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Simplifying 3y + -1(7y + 12) = 6 + -1(13y + -5) Reorder the terms: 3y + -1(12 + 7y) = 6 + -1(13y + -5) 3y + (12 * -1 + 7y * -1) = 6 + -1(13y + -5) 3y + (-12 + -7y) = 6 + -1(13y + -5) Reorder the terms: -12 + 3y + -7y = 6 + -1(13y + -5) Combine like terms: 3y + -7y = -4y -12 + -4y = 6 + -1(13y + -5) Reorder the terms: -12 + -4y = 6 + -1(-5 + 13y) -12 + -4y = 6 + (-5 * -1 + 13y * -1) -12 + -4y = 6 + (5 + -13y) Combine like terms: 6 + 5 = 11 -12 + -4y = 11 + -13y Solving -12 + -4y = 11 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. -12 + -4y + 13y = 11 + -13y + 13y Combine like terms: -4y + 13y = 9y -12 + 9y = 11 + -13y + 13y Combine like terms: -13y + 13y = 0 -12 + 9y = 11 + 0 -12 + 9y = 11 Add '12' to each side of the equation. -12 + 12 + 9y = 11 + 12 Combine like terms: -12 + 12 = 0 0 + 9y = 11 + 12 9y = 11 + 12 Combine like terms: 11 + 12 = 23 9y = 23 Divide each side by '9'. y = 2.555555556 Simplifying y = 2.555555556
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