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Simplifying 5y + -1(7y + 8) = 6 + -1(12y + -9) Reorder the terms: 5y + -1(8 + 7y) = 6 + -1(12y + -9) 5y + (8 * -1 + 7y * -1) = 6 + -1(12y + -9) 5y + (-8 + -7y) = 6 + -1(12y + -9) Reorder the terms: -8 + 5y + -7y = 6 + -1(12y + -9) Combine like terms: 5y + -7y = -2y -8 + -2y = 6 + -1(12y + -9) Reorder the terms: -8 + -2y = 6 + -1(-9 + 12y) -8 + -2y = 6 + (-9 * -1 + 12y * -1) -8 + -2y = 6 + (9 + -12y) Combine like terms: 6 + 9 = 15 -8 + -2y = 15 + -12y Solving -8 + -2y = 15 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. -8 + -2y + 12y = 15 + -12y + 12y Combine like terms: -2y + 12y = 10y -8 + 10y = 15 + -12y + 12y Combine like terms: -12y + 12y = 0 -8 + 10y = 15 + 0 -8 + 10y = 15 Add '8' to each side of the equation. -8 + 8 + 10y = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 10y = 15 + 8 10y = 15 + 8 Combine like terms: 15 + 8 = 23 10y = 23 Divide each side by '10'. y = 2.3 Simplifying y = 2.3
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