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Simplifying 3(6y + -3) + -12y = 2(4 + -2y) + 3 Reorder the terms: 3(-3 + 6y) + -12y = 2(4 + -2y) + 3 (-3 * 3 + 6y * 3) + -12y = 2(4 + -2y) + 3 (-9 + 18y) + -12y = 2(4 + -2y) + 3 Combine like terms: 18y + -12y = 6y -9 + 6y = 2(4 + -2y) + 3 -9 + 6y = (4 * 2 + -2y * 2) + 3 -9 + 6y = (8 + -4y) + 3 Reorder the terms: -9 + 6y = 8 + 3 + -4y Combine like terms: 8 + 3 = 11 -9 + 6y = 11 + -4y Solving -9 + 6y = 11 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -9 + 6y + 4y = 11 + -4y + 4y Combine like terms: 6y + 4y = 10y -9 + 10y = 11 + -4y + 4y Combine like terms: -4y + 4y = 0 -9 + 10y = 11 + 0 -9 + 10y = 11 Add '9' to each side of the equation. -9 + 9 + 10y = 11 + 9 Combine like terms: -9 + 9 = 0 0 + 10y = 11 + 9 10y = 11 + 9 Combine like terms: 11 + 9 = 20 10y = 20 Divide each side by '10'. y = 2 Simplifying y = 2
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