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Simplifying -6(y + 4) = -5 + (6y + 5) Reorder the terms: -6(4 + y) = -5 + (6y + 5) (4 * -6 + y * -6) = -5 + (6y + 5) (-24 + -6y) = -5 + (6y + 5) Reorder the terms: -24 + -6y = -5 + (5 + 6y) Remove parenthesis around (5 + 6y) -24 + -6y = -5 + 5 + 6y Combine like terms: -5 + 5 = 0 -24 + -6y = 0 + 6y -24 + -6y = 6y Solving -24 + -6y = 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. -24 + -6y + -6y = 6y + -6y Combine like terms: -6y + -6y = -12y -24 + -12y = 6y + -6y Combine like terms: 6y + -6y = 0 -24 + -12y = 0 Add '24' to each side of the equation. -24 + 24 + -12y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -12y = 0 + 24 -12y = 0 + 24 Combine like terms: 0 + 24 = 24 -12y = 24 Divide each side by '-12'. y = -2 Simplifying y = -2
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