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Simplifying 7(y + -8) + 24 = -2(y + -6) Reorder the terms: 7(-8 + y) + 24 = -2(y + -6) (-8 * 7 + y * 7) + 24 = -2(y + -6) (-56 + 7y) + 24 = -2(y + -6) Reorder the terms: -56 + 24 + 7y = -2(y + -6) Combine like terms: -56 + 24 = -32 -32 + 7y = -2(y + -6) Reorder the terms: -32 + 7y = -2(-6 + y) -32 + 7y = (-6 * -2 + y * -2) -32 + 7y = (12 + -2y) Solving -32 + 7y = 12 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -32 + 7y + 2y = 12 + -2y + 2y Combine like terms: 7y + 2y = 9y -32 + 9y = 12 + -2y + 2y Combine like terms: -2y + 2y = 0 -32 + 9y = 12 + 0 -32 + 9y = 12 Add '32' to each side of the equation. -32 + 32 + 9y = 12 + 32 Combine like terms: -32 + 32 = 0 0 + 9y = 12 + 32 9y = 12 + 32 Combine like terms: 12 + 32 = 44 9y = 44 Divide each side by '9'. y = 4.888888889 Simplifying y = 4.888888889
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