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Simplifying 7y + 2(y + 5) = 4(y + -10) Reorder the terms: 7y + 2(5 + y) = 4(y + -10) 7y + (5 * 2 + y * 2) = 4(y + -10) 7y + (10 + 2y) = 4(y + -10) Reorder the terms: 10 + 7y + 2y = 4(y + -10) Combine like terms: 7y + 2y = 9y 10 + 9y = 4(y + -10) Reorder the terms: 10 + 9y = 4(-10 + y) 10 + 9y = (-10 * 4 + y * 4) 10 + 9y = (-40 + 4y) Solving 10 + 9y = -40 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 10 + 9y + -4y = -40 + 4y + -4y Combine like terms: 9y + -4y = 5y 10 + 5y = -40 + 4y + -4y Combine like terms: 4y + -4y = 0 10 + 5y = -40 + 0 10 + 5y = -40 Add '-10' to each side of the equation. 10 + -10 + 5y = -40 + -10 Combine like terms: 10 + -10 = 0 0 + 5y = -40 + -10 5y = -40 + -10 Combine like terms: -40 + -10 = -50 5y = -50 Divide each side by '5'. y = -10 Simplifying y = -10
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