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Simplifying 6x + 26 + 8y + 8 = 15y + -1 + 6x + -14 Reorder the terms: 26 + 8 + 6x + 8y = 15y + -1 + 6x + -14 Combine like terms: 26 + 8 = 34 34 + 6x + 8y = 15y + -1 + 6x + -14 Reorder the terms: 34 + 6x + 8y = -1 + -14 + 6x + 15y Combine like terms: -1 + -14 = -15 34 + 6x + 8y = -15 + 6x + 15y Add '-6x' to each side of the equation. 34 + 6x + -6x + 8y = -15 + 6x + -6x + 15y Combine like terms: 6x + -6x = 0 34 + 0 + 8y = -15 + 6x + -6x + 15y 34 + 8y = -15 + 6x + -6x + 15y Combine like terms: 6x + -6x = 0 34 + 8y = -15 + 0 + 15y 34 + 8y = -15 + 15y Solving 34 + 8y = -15 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 34 + 8y + -15y = -15 + 15y + -15y Combine like terms: 8y + -15y = -7y 34 + -7y = -15 + 15y + -15y Combine like terms: 15y + -15y = 0 34 + -7y = -15 + 0 34 + -7y = -15 Add '-34' to each side of the equation. 34 + -34 + -7y = -15 + -34 Combine like terms: 34 + -34 = 0 0 + -7y = -15 + -34 -7y = -15 + -34 Combine like terms: -15 + -34 = -49 -7y = -49 Divide each side by '-7'. y = 7 Simplifying y = 7
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