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Simplifying 3(5y + -7) + -4(y + -1) = 0 Reorder the terms: 3(-7 + 5y) + -4(y + -1) = 0 (-7 * 3 + 5y * 3) + -4(y + -1) = 0 (-21 + 15y) + -4(y + -1) = 0 Reorder the terms: -21 + 15y + -4(-1 + y) = 0 -21 + 15y + (-1 * -4 + y * -4) = 0 -21 + 15y + (4 + -4y) = 0 Reorder the terms: -21 + 4 + 15y + -4y = 0 Combine like terms: -21 + 4 = -17 -17 + 15y + -4y = 0 Combine like terms: 15y + -4y = 11y -17 + 11y = 0 Solving -17 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 11y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 11y = 0 + 17 11y = 0 + 17 Combine like terms: 0 + 17 = 17 11y = 17 Divide each side by '11'. y = 1.545454545 Simplifying y = 1.545454545
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