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Simplifying 3(4y + -5) + -7(2y + -1) = 0 Reorder the terms: 3(-5 + 4y) + -7(2y + -1) = 0 (-5 * 3 + 4y * 3) + -7(2y + -1) = 0 (-15 + 12y) + -7(2y + -1) = 0 Reorder the terms: -15 + 12y + -7(-1 + 2y) = 0 -15 + 12y + (-1 * -7 + 2y * -7) = 0 -15 + 12y + (7 + -14y) = 0 Reorder the terms: -15 + 7 + 12y + -14y = 0 Combine like terms: -15 + 7 = -8 -8 + 12y + -14y = 0 Combine like terms: 12y + -14y = -2y -8 + -2y = 0 Solving -8 + -2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -2y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2y = 0 + 8 -2y = 0 + 8 Combine like terms: 0 + 8 = 8 -2y = 8 Divide each side by '-2'. y = -4 Simplifying y = -4
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