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Simplifying 3(2y + -1) + -1y = 2(y + 2) + -1(y + -4) Reorder the terms: 3(-1 + 2y) + -1y = 2(y + 2) + -1(y + -4) (-1 * 3 + 2y * 3) + -1y = 2(y + 2) + -1(y + -4) (-3 + 6y) + -1y = 2(y + 2) + -1(y + -4) Combine like terms: 6y + -1y = 5y -3 + 5y = 2(y + 2) + -1(y + -4) Reorder the terms: -3 + 5y = 2(2 + y) + -1(y + -4) -3 + 5y = (2 * 2 + y * 2) + -1(y + -4) -3 + 5y = (4 + 2y) + -1(y + -4) Reorder the terms: -3 + 5y = 4 + 2y + -1(-4 + y) -3 + 5y = 4 + 2y + (-4 * -1 + y * -1) -3 + 5y = 4 + 2y + (4 + -1y) Reorder the terms: -3 + 5y = 4 + 4 + 2y + -1y Combine like terms: 4 + 4 = 8 -3 + 5y = 8 + 2y + -1y Combine like terms: 2y + -1y = 1y -3 + 5y = 8 + 1y Solving -3 + 5y = 8 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -3 + 5y + -1y = 8 + 1y + -1y Combine like terms: 5y + -1y = 4y -3 + 4y = 8 + 1y + -1y Combine like terms: 1y + -1y = 0 -3 + 4y = 8 + 0 -3 + 4y = 8 Add '3' to each side of the equation. -3 + 3 + 4y = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 4y = 8 + 3 4y = 8 + 3 Combine like terms: 8 + 3 = 11 4y = 11 Divide each side by '4'. y = 2.75 Simplifying y = 2.75
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