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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 = 5y -32 + 5y = -12 + 2y + -2y Combine like terms: 2y + -2y = 0 -32 + 5y = -12 + 0 -32 + 5y = -12 Add '32' to each side of the equation. -32 + 32 + 5y = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 5y = -12 + 32 5y = -12 + 32 Combine like terms: -12 + 32 = 20 5y = 20 Divide each side by '5'. y = 4 Simplifying y = 4
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