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Simplifying -7(2y + -3) + 5y = 6(y + 4) Reorder the terms: -7(-3 + 2y) + 5y = 6(y + 4) (-3 * -7 + 2y * -7) + 5y = 6(y + 4) (21 + -14y) + 5y = 6(y + 4) Combine like terms: -14y + 5y = -9y 21 + -9y = 6(y + 4) Reorder the terms: 21 + -9y = 6(4 + y) 21 + -9y = (4 * 6 + y * 6) 21 + -9y = (24 + 6y) Solving 21 + -9y = 24 + 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. 21 + -9y + -6y = 24 + 6y + -6y Combine like terms: -9y + -6y = -15y 21 + -15y = 24 + 6y + -6y Combine like terms: 6y + -6y = 0 21 + -15y = 24 + 0 21 + -15y = 24 Add '-21' to each side of the equation. 21 + -21 + -15y = 24 + -21 Combine like terms: 21 + -21 = 0 0 + -15y = 24 + -21 -15y = 24 + -21 Combine like terms: 24 + -21 = 3 -15y = 3 Divide each side by '-15'. y = -0.2 Simplifying y = -0.2
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