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Simplifying 3y + -12 + -1y = 15 + -1(4y + 8) Reorder the terms: -12 + 3y + -1y = 15 + -1(4y + 8) Combine like terms: 3y + -1y = 2y -12 + 2y = 15 + -1(4y + 8) Reorder the terms: -12 + 2y = 15 + -1(8 + 4y) -12 + 2y = 15 + (8 * -1 + 4y * -1) -12 + 2y = 15 + (-8 + -4y) Combine like terms: 15 + -8 = 7 -12 + 2y = 7 + -4y Solving -12 + 2y = 7 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -12 + 2y + 4y = 7 + -4y + 4y Combine like terms: 2y + 4y = 6y -12 + 6y = 7 + -4y + 4y Combine like terms: -4y + 4y = 0 -12 + 6y = 7 + 0 -12 + 6y = 7 Add '12' to each side of the equation. -12 + 12 + 6y = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 6y = 7 + 12 6y = 7 + 12 Combine like terms: 7 + 12 = 19 6y = 19 Divide each side by '6'. y = 3.166666667 Simplifying y = 3.166666667
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