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Simplifying 2y + 7 + 3y + -8 = 7y + -11 Reorder the terms: 7 + -8 + 2y + 3y = 7y + -11 Combine like terms: 7 + -8 = -1 -1 + 2y + 3y = 7y + -11 Combine like terms: 2y + 3y = 5y -1 + 5y = 7y + -11 Reorder the terms: -1 + 5y = -11 + 7y Solving -1 + 5y = -11 + 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. -1 + 5y + -7y = -11 + 7y + -7y Combine like terms: 5y + -7y = -2y -1 + -2y = -11 + 7y + -7y Combine like terms: 7y + -7y = 0 -1 + -2y = -11 + 0 -1 + -2y = -11 Add '1' to each side of the equation. -1 + 1 + -2y = -11 + 1 Combine like terms: -1 + 1 = 0 0 + -2y = -11 + 1 -2y = -11 + 1 Combine like terms: -11 + 1 = -10 -2y = -10 Divide each side by '-2'. y = 5 Simplifying y = 5
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