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Simplifying 23 = -5 + 7(y + -6) Reorder the terms: 23 = -5 + 7(-6 + y) 23 = -5 + (-6 * 7 + y * 7) 23 = -5 + (-42 + 7y) Combine like terms: -5 + -42 = -47 23 = -47 + 7y Solving 23 = -47 + 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. 23 + -7y = -47 + 7y + -7y Combine like terms: 7y + -7y = 0 23 + -7y = -47 + 0 23 + -7y = -47 Add '-23' to each side of the equation. 23 + -23 + -7y = -47 + -23 Combine like terms: 23 + -23 = 0 0 + -7y = -47 + -23 -7y = -47 + -23 Combine like terms: -47 + -23 = -70 -7y = -70 Divide each side by '-7'. y = 10 Simplifying y = 10
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