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Simplifying 4(y + 5) + 3 = 2(7y + -11) + -64 Reorder the terms: 4(5 + y) + 3 = 2(7y + -11) + -64 (5 * 4 + y * 4) + 3 = 2(7y + -11) + -64 (20 + 4y) + 3 = 2(7y + -11) + -64 Reorder the terms: 20 + 3 + 4y = 2(7y + -11) + -64 Combine like terms: 20 + 3 = 23 23 + 4y = 2(7y + -11) + -64 Reorder the terms: 23 + 4y = 2(-11 + 7y) + -64 23 + 4y = (-11 * 2 + 7y * 2) + -64 23 + 4y = (-22 + 14y) + -64 Reorder the terms: 23 + 4y = -22 + -64 + 14y Combine like terms: -22 + -64 = -86 23 + 4y = -86 + 14y Solving 23 + 4y = -86 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 23 + 4y + -14y = -86 + 14y + -14y Combine like terms: 4y + -14y = -10y 23 + -10y = -86 + 14y + -14y Combine like terms: 14y + -14y = 0 23 + -10y = -86 + 0 23 + -10y = -86 Add '-23' to each side of the equation. 23 + -23 + -10y = -86 + -23 Combine like terms: 23 + -23 = 0 0 + -10y = -86 + -23 -10y = -86 + -23 Combine like terms: -86 + -23 = -109 -10y = -109 Divide each side by '-10'. y = 10.9 Simplifying y = 10.9
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