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Simplifying 8(y + -5) = 7(y + -6) Reorder the terms: 8(-5 + y) = 7(y + -6) (-5 * 8 + y * 8) = 7(y + -6) (-40 + 8y) = 7(y + -6) Reorder the terms: -40 + 8y = 7(-6 + y) -40 + 8y = (-6 * 7 + y * 7) -40 + 8y = (-42 + 7y) Solving -40 + 8y = -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. -40 + 8y + -7y = -42 + 7y + -7y Combine like terms: 8y + -7y = 1y -40 + 1y = -42 + 7y + -7y Combine like terms: 7y + -7y = 0 -40 + 1y = -42 + 0 -40 + 1y = -42 Add '40' to each side of the equation. -40 + 40 + 1y = -42 + 40 Combine like terms: -40 + 40 = 0 0 + 1y = -42 + 40 1y = -42 + 40 Combine like terms: -42 + 40 = -2 1y = -2 Divide each side by '1'. y = -2 Simplifying y = -2
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