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Simplifying 2(y + 5) + 3 = 1(7y + -11) + -8 Reorder the terms: 2(5 + y) + 3 = 1(7y + -11) + -8 (5 * 2 + y * 2) + 3 = 1(7y + -11) + -8 (10 + 2y) + 3 = 1(7y + -11) + -8 Reorder the terms: 10 + 3 + 2y = 1(7y + -11) + -8 Combine like terms: 10 + 3 = 13 13 + 2y = 1(7y + -11) + -8 Reorder the terms: 13 + 2y = 1(-11 + 7y) + -8 13 + 2y = (-11 * 1 + 7y * 1) + -8 13 + 2y = (-11 + 7y) + -8 Reorder the terms: 13 + 2y = -11 + -8 + 7y Combine like terms: -11 + -8 = -19 13 + 2y = -19 + 7y Solving 13 + 2y = -19 + 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. 13 + 2y + -7y = -19 + 7y + -7y Combine like terms: 2y + -7y = -5y 13 + -5y = -19 + 7y + -7y Combine like terms: 7y + -7y = 0 13 + -5y = -19 + 0 13 + -5y = -19 Add '-13' to each side of the equation. 13 + -13 + -5y = -19 + -13 Combine like terms: 13 + -13 = 0 0 + -5y = -19 + -13 -5y = -19 + -13 Combine like terms: -19 + -13 = -32 -5y = -32 Divide each side by '-5'. y = 6.4 Simplifying y = 6.4
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