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Simplifying 3(4y + -4) + -1(5y + 3) = 0 Reorder the terms: 3(-4 + 4y) + -1(5y + 3) = 0 (-4 * 3 + 4y * 3) + -1(5y + 3) = 0 (-12 + 12y) + -1(5y + 3) = 0 Reorder the terms: -12 + 12y + -1(3 + 5y) = 0 -12 + 12y + (3 * -1 + 5y * -1) = 0 -12 + 12y + (-3 + -5y) = 0 Reorder the terms: -12 + -3 + 12y + -5y = 0 Combine like terms: -12 + -3 = -15 -15 + 12y + -5y = 0 Combine like terms: 12y + -5y = 7y -15 + 7y = 0 Solving -15 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 7y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 7y = 0 + 15 7y = 0 + 15 Combine like terms: 0 + 15 = 15 7y = 15 Divide each side by '7'. y = 2.142857143 Simplifying y = 2.142857143
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