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Simplifying 3(2y + -4) = 2(4y + 3) Reorder the terms: 3(-4 + 2y) = 2(4y + 3) (-4 * 3 + 2y * 3) = 2(4y + 3) (-12 + 6y) = 2(4y + 3) Reorder the terms: -12 + 6y = 2(3 + 4y) -12 + 6y = (3 * 2 + 4y * 2) -12 + 6y = (6 + 8y) Solving -12 + 6y = 6 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -12 + 6y + -8y = 6 + 8y + -8y Combine like terms: 6y + -8y = -2y -12 + -2y = 6 + 8y + -8y Combine like terms: 8y + -8y = 0 -12 + -2y = 6 + 0 -12 + -2y = 6 Add '12' to each side of the equation. -12 + 12 + -2y = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -2y = 6 + 12 -2y = 6 + 12 Combine like terms: 6 + 12 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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