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Simplifying 5y + -11 = 7(y + 1) Reorder the terms: -11 + 5y = 7(y + 1) Reorder the terms: -11 + 5y = 7(1 + y) -11 + 5y = (1 * 7 + y * 7) -11 + 5y = (7 + 7y) Solving -11 + 5y = 7 + 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. -11 + 5y + -7y = 7 + 7y + -7y Combine like terms: 5y + -7y = -2y -11 + -2y = 7 + 7y + -7y Combine like terms: 7y + -7y = 0 -11 + -2y = 7 + 0 -11 + -2y = 7 Add '11' to each side of the equation. -11 + 11 + -2y = 7 + 11 Combine like terms: -11 + 11 = 0 0 + -2y = 7 + 11 -2y = 7 + 11 Combine like terms: 7 + 11 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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