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Simplifying 7(y + -8) + 24 = -21(y + -6) Reorder the terms: 7(-8 + y) + 24 = -21(y + -6) (-8 * 7 + y * 7) + 24 = -21(y + -6) (-56 + 7y) + 24 = -21(y + -6) Reorder the terms: -56 + 24 + 7y = -21(y + -6) Combine like terms: -56 + 24 = -32 -32 + 7y = -21(y + -6) Reorder the terms: -32 + 7y = -21(-6 + y) -32 + 7y = (-6 * -21 + y * -21) -32 + 7y = (126 + -21y) Solving -32 + 7y = 126 + -21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21y' to each side of the equation. -32 + 7y + 21y = 126 + -21y + 21y Combine like terms: 7y + 21y = 28y -32 + 28y = 126 + -21y + 21y Combine like terms: -21y + 21y = 0 -32 + 28y = 126 + 0 -32 + 28y = 126 Add '32' to each side of the equation. -32 + 32 + 28y = 126 + 32 Combine like terms: -32 + 32 = 0 0 + 28y = 126 + 32 28y = 126 + 32 Combine like terms: 126 + 32 = 158 28y = 158 Divide each side by '28'. y = 5.642857143 Simplifying y = 5.642857143
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