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Simplifying -2y + 4(-1y + -6) = 8 + 1(-7 + -1y) Reorder the terms: -2y + 4(-6 + -1y) = 8 + 1(-7 + -1y) -2y + (-6 * 4 + -1y * 4) = 8 + 1(-7 + -1y) -2y + (-24 + -4y) = 8 + 1(-7 + -1y) Reorder the terms: -24 + -2y + -4y = 8 + 1(-7 + -1y) Combine like terms: -2y + -4y = -6y -24 + -6y = 8 + 1(-7 + -1y) -24 + -6y = 8 + (-7 * 1 + -1y * 1) -24 + -6y = 8 + (-7 + -1y) Combine like terms: 8 + -7 = 1 -24 + -6y = 1 + -1y Solving -24 + -6y = 1 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -24 + -6y + y = 1 + -1y + y Combine like terms: -6y + y = -5y -24 + -5y = 1 + -1y + y Combine like terms: -1y + y = 0 -24 + -5y = 1 + 0 -24 + -5y = 1 Add '24' to each side of the equation. -24 + 24 + -5y = 1 + 24 Combine like terms: -24 + 24 = 0 0 + -5y = 1 + 24 -5y = 1 + 24 Combine like terms: 1 + 24 = 25 -5y = 25 Divide each side by '-5'. y = -5 Simplifying y = -5
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