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Simplifying -5(y + -6) + -1y = -4(y + -2) Reorder the terms: -5(-6 + y) + -1y = -4(y + -2) (-6 * -5 + y * -5) + -1y = -4(y + -2) (30 + -5y) + -1y = -4(y + -2) Combine like terms: -5y + -1y = -6y 30 + -6y = -4(y + -2) Reorder the terms: 30 + -6y = -4(-2 + y) 30 + -6y = (-2 * -4 + y * -4) 30 + -6y = (8 + -4y) Solving 30 + -6y = 8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 30 + -6y + 4y = 8 + -4y + 4y Combine like terms: -6y + 4y = -2y 30 + -2y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 30 + -2y = 8 + 0 30 + -2y = 8 Add '-30' to each side of the equation. 30 + -30 + -2y = 8 + -30 Combine like terms: 30 + -30 = 0 0 + -2y = 8 + -30 -2y = 8 + -30 Combine like terms: 8 + -30 = -22 -2y = -22 Divide each side by '-2'. y = 11 Simplifying y = 11
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