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Simplifying -4(-5y + 7) + -5y = 6(y + -3) + -4 Reorder the terms: -4(7 + -5y) + -5y = 6(y + -3) + -4 (7 * -4 + -5y * -4) + -5y = 6(y + -3) + -4 (-28 + 20y) + -5y = 6(y + -3) + -4 Combine like terms: 20y + -5y = 15y -28 + 15y = 6(y + -3) + -4 Reorder the terms: -28 + 15y = 6(-3 + y) + -4 -28 + 15y = (-3 * 6 + y * 6) + -4 -28 + 15y = (-18 + 6y) + -4 Reorder the terms: -28 + 15y = -18 + -4 + 6y Combine like terms: -18 + -4 = -22 -28 + 15y = -22 + 6y Solving -28 + 15y = -22 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -28 + 15y + -6y = -22 + 6y + -6y Combine like terms: 15y + -6y = 9y -28 + 9y = -22 + 6y + -6y Combine like terms: 6y + -6y = 0 -28 + 9y = -22 + 0 -28 + 9y = -22 Add '28' to each side of the equation. -28 + 28 + 9y = -22 + 28 Combine like terms: -28 + 28 = 0 0 + 9y = -22 + 28 9y = -22 + 28 Combine like terms: -22 + 28 = 6 9y = 6 Divide each side by '9'. y = 0.6666666667 Simplifying y = 0.6666666667
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