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Simplifying 3(2y + -1) = 2(y + -4) Reorder the terms: 3(-1 + 2y) = 2(y + -4) (-1 * 3 + 2y * 3) = 2(y + -4) (-3 + 6y) = 2(y + -4) Reorder the terms: -3 + 6y = 2(-4 + y) -3 + 6y = (-4 * 2 + y * 2) -3 + 6y = (-8 + 2y) Solving -3 + 6y = -8 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -3 + 6y + -2y = -8 + 2y + -2y Combine like terms: 6y + -2y = 4y -3 + 4y = -8 + 2y + -2y Combine like terms: 2y + -2y = 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 = -5 4y = -5 Divide each side by '4'. y = -1.25 Simplifying y = -1.25
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