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Simplifying 3(6y + -4) = 4(3y + 2) Reorder the terms: 3(-4 + 6y) = 4(3y + 2) (-4 * 3 + 6y * 3) = 4(3y + 2) (-12 + 18y) = 4(3y + 2) Reorder the terms: -12 + 18y = 4(2 + 3y) -12 + 18y = (2 * 4 + 3y * 4) -12 + 18y = (8 + 12y) Solving -12 + 18y = 8 + 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. -12 + 18y + -12y = 8 + 12y + -12y Combine like terms: 18y + -12y = 6y -12 + 6y = 8 + 12y + -12y Combine like terms: 12y + -12y = 0 -12 + 6y = 8 + 0 -12 + 6y = 8 Add '12' to each side of the equation. -12 + 12 + 6y = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 6y = 8 + 12 6y = 8 + 12 Combine like terms: 8 + 12 = 20 6y = 20 Divide each side by '6'. y = 3.333333333 Simplifying y = 3.333333333
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