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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 = 4y -32 + 4y = -18 + 3y + -3y Combine like terms: 3y + -3y = 0 -32 + 4y = -18 + 0 -32 + 4y = -18 Add '32' to each side of the equation. -32 + 32 + 4y = -18 + 32 Combine like terms: -32 + 32 = 0 0 + 4y = -18 + 32 4y = -18 + 32 Combine like terms: -18 + 32 = 14 4y = 14 Divide each side by '4'. y = 3.5 Simplifying y = 3.5
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