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Simplifying 2y + 15(y + -8) = 7y + -2(y + -10) Reorder the terms: 2y + 15(-8 + y) = 7y + -2(y + -10) 2y + (-8 * 15 + y * 15) = 7y + -2(y + -10) 2y + (-120 + 15y) = 7y + -2(y + -10) Reorder the terms: -120 + 2y + 15y = 7y + -2(y + -10) Combine like terms: 2y + 15y = 17y -120 + 17y = 7y + -2(y + -10) Reorder the terms: -120 + 17y = 7y + -2(-10 + y) -120 + 17y = 7y + (-10 * -2 + y * -2) -120 + 17y = 7y + (20 + -2y) Reorder the terms: -120 + 17y = 20 + 7y + -2y Combine like terms: 7y + -2y = 5y -120 + 17y = 20 + 5y Solving -120 + 17y = 20 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -120 + 17y + -5y = 20 + 5y + -5y Combine like terms: 17y + -5y = 12y -120 + 12y = 20 + 5y + -5y Combine like terms: 5y + -5y = 0 -120 + 12y = 20 + 0 -120 + 12y = 20 Add '120' to each side of the equation. -120 + 120 + 12y = 20 + 120 Combine like terms: -120 + 120 = 0 0 + 12y = 20 + 120 12y = 20 + 120 Combine like terms: 20 + 120 = 140 12y = 140 Divide each side by '12'. y = 11.66666667 Simplifying y = 11.66666667
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