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Simplifying 7(y + -8) + 24 = -7(y + -6) Reorder the terms: 7(-8 + y) + 24 = -7(y + -6) (-8 * 7 + y * 7) + 24 = -7(y + -6) (-56 + 7y) + 24 = -7(y + -6) Reorder the terms: -56 + 24 + 7y = -7(y + -6) Combine like terms: -56 + 24 = -32 -32 + 7y = -7(y + -6) Reorder the terms: -32 + 7y = -7(-6 + y) -32 + 7y = (-6 * -7 + y * -7) -32 + 7y = (42 + -7y) Solving -32 + 7y = 42 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -32 + 7y + 7y = 42 + -7y + 7y Combine like terms: 7y + 7y = 14y -32 + 14y = 42 + -7y + 7y Combine like terms: -7y + 7y = 0 -32 + 14y = 42 + 0 -32 + 14y = 42 Add '32' to each side of the equation. -32 + 32 + 14y = 42 + 32 Combine like terms: -32 + 32 = 0 0 + 14y = 42 + 32 14y = 42 + 32 Combine like terms: 42 + 32 = 74 14y = 74 Divide each side by '14'. y = 5.285714286 Simplifying y = 5.285714286
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