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Simplifying 7(y + -8) + 24 = (-3)(y + -6) Reorder the terms: 7(-8 + y) + 24 = (-3)(y + -6) (-8 * 7 + y * 7) + 24 = (-3)(y + -6) (-56 + 7y) + 24 = (-3)(y + -6) Reorder the terms: -56 + 24 + 7y = (-3)(y + -6) Combine like terms: -56 + 24 = -32 -32 + 7y = (-3)(y + -6) Reorder the terms: -32 + 7y = -3(-6 + y) -32 + 7y = (-6 * -3 + y * -3) -32 + 7y = (18 + -3y) Solving -32 + 7y = 18 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -32 + 7y + 3y = 18 + -3y + 3y Combine like terms: 7y + 3y = 10y -32 + 10y = 18 + -3y + 3y Combine like terms: -3y + 3y = 0 -32 + 10y = 18 + 0 -32 + 10y = 18 Add '32' to each side of the equation. -32 + 32 + 10y = 18 + 32 Combine like terms: -32 + 32 = 0 0 + 10y = 18 + 32 10y = 18 + 32 Combine like terms: 18 + 32 = 50 10y = 50 Divide each side by '10'. y = 5 Simplifying y = 5
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