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Simplifying 8y + -40 = 2(y + -5) Reorder the terms: -40 + 8y = 2(y + -5) Reorder the terms: -40 + 8y = 2(-5 + y) -40 + 8y = (-5 * 2 + y * 2) -40 + 8y = (-10 + 2y) Solving -40 + 8y = -10 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -40 + 8y + -2y = -10 + 2y + -2y Combine like terms: 8y + -2y = 6y -40 + 6y = -10 + 2y + -2y Combine like terms: 2y + -2y = 0 -40 + 6y = -10 + 0 -40 + 6y = -10 Add '40' to each side of the equation. -40 + 40 + 6y = -10 + 40 Combine like terms: -40 + 40 = 0 0 + 6y = -10 + 40 6y = -10 + 40 Combine like terms: -10 + 40 = 30 6y = 30 Divide each side by '6'. y = 5 Simplifying y = 5
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