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Simplifying 2(y + -2) + 3(4y + -1) = 0 Reorder the terms: 2(-2 + y) + 3(4y + -1) = 0 (-2 * 2 + y * 2) + 3(4y + -1) = 0 (-4 + 2y) + 3(4y + -1) = 0 Reorder the terms: -4 + 2y + 3(-1 + 4y) = 0 -4 + 2y + (-1 * 3 + 4y * 3) = 0 -4 + 2y + (-3 + 12y) = 0 Reorder the terms: -4 + -3 + 2y + 12y = 0 Combine like terms: -4 + -3 = -7 -7 + 2y + 12y = 0 Combine like terms: 2y + 12y = 14y -7 + 14y = 0 Solving -7 + 14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 14y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 14y = 0 + 7 14y = 0 + 7 Combine like terms: 0 + 7 = 7 14y = 7 Divide each side by '14'. y = 0.5 Simplifying y = 0.5
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