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Simplifying 3(2y + -4) + 2(3y + 1) = -2(4y + 3) Reorder the terms: 3(-4 + 2y) + 2(3y + 1) = -2(4y + 3) (-4 * 3 + 2y * 3) + 2(3y + 1) = -2(4y + 3) (-12 + 6y) + 2(3y + 1) = -2(4y + 3) Reorder the terms: -12 + 6y + 2(1 + 3y) = -2(4y + 3) -12 + 6y + (1 * 2 + 3y * 2) = -2(4y + 3) -12 + 6y + (2 + 6y) = -2(4y + 3) Reorder the terms: -12 + 2 + 6y + 6y = -2(4y + 3) Combine like terms: -12 + 2 = -10 -10 + 6y + 6y = -2(4y + 3) Combine like terms: 6y + 6y = 12y -10 + 12y = -2(4y + 3) Reorder the terms: -10 + 12y = -2(3 + 4y) -10 + 12y = (3 * -2 + 4y * -2) -10 + 12y = (-6 + -8y) Solving -10 + 12y = -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. -10 + 12y + 8y = -6 + -8y + 8y Combine like terms: 12y + 8y = 20y -10 + 20y = -6 + -8y + 8y Combine like terms: -8y + 8y = 0 -10 + 20y = -6 + 0 -10 + 20y = -6 Add '10' to each side of the equation. -10 + 10 + 20y = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 20y = -6 + 10 20y = -6 + 10 Combine like terms: -6 + 10 = 4 20y = 4 Divide each side by '20'. y = 0.2 Simplifying y = 0.2
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