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Simplifying 8(y + -5) = 10y + -40 Reorder the terms: 8(-5 + y) = 10y + -40 (-5 * 8 + y * 8) = 10y + -40 (-40 + 8y) = 10y + -40 Reorder the terms: -40 + 8y = -40 + 10y Add '40' to each side of the equation. -40 + 40 + 8y = -40 + 40 + 10y Combine like terms: -40 + 40 = 0 0 + 8y = -40 + 40 + 10y 8y = -40 + 40 + 10y Combine like terms: -40 + 40 = 0 8y = 0 + 10y 8y = 10y Solving 8y = 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 8y + -10y = 10y + -10y Combine like terms: 8y + -10y = -2y -2y = 10y + -10y Combine like terms: 10y + -10y = 0 -2y = 0 Divide each side by '-2'. y = 0 Simplifying y = 0
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