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Simplifying 4(3y + -1) + -2(2y) = 12 Reorder the terms: 4(-1 + 3y) + -2(2y) = 12 (-1 * 4 + 3y * 4) + -2(2y) = 12 (-4 + 12y) + -2(2y) = 12 Remove parenthesis around (2y) -4 + 12y + -2 * 2y = 12 Multiply -2 * 2 -4 + 12y + -4y = 12 Combine like terms: 12y + -4y = 8y -4 + 8y = 12 Solving -4 + 8y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8y = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 8y = 12 + 4 8y = 12 + 4 Combine like terms: 12 + 4 = 16 8y = 16 Divide each side by '8'. y = 2 Simplifying y = 2
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