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Simplifying 8(y + -3) = 7(y + -5) Reorder the terms: 8(-3 + y) = 7(y + -5) (-3 * 8 + y * 8) = 7(y + -5) (-24 + 8y) = 7(y + -5) Reorder the terms: -24 + 8y = 7(-5 + y) -24 + 8y = (-5 * 7 + y * 7) -24 + 8y = (-35 + 7y) Solving -24 + 8y = -35 + 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. -24 + 8y + -7y = -35 + 7y + -7y Combine like terms: 8y + -7y = 1y -24 + 1y = -35 + 7y + -7y Combine like terms: 7y + -7y = 0 -24 + 1y = -35 + 0 -24 + 1y = -35 Add '24' to each side of the equation. -24 + 24 + 1y = -35 + 24 Combine like terms: -24 + 24 = 0 0 + 1y = -35 + 24 1y = -35 + 24 Combine like terms: -35 + 24 = -11 1y = -11 Divide each side by '1'. y = -11 Simplifying y = -11
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