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Simplifying 43 + 4y + -7 = 15y + -13 + -4y Reorder the terms: 43 + -7 + 4y = 15y + -13 + -4y Combine like terms: 43 + -7 = 36 36 + 4y = 15y + -13 + -4y Reorder the terms: 36 + 4y = -13 + 15y + -4y Combine like terms: 15y + -4y = 11y 36 + 4y = -13 + 11y Solving 36 + 4y = -13 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 36 + 4y + -11y = -13 + 11y + -11y Combine like terms: 4y + -11y = -7y 36 + -7y = -13 + 11y + -11y Combine like terms: 11y + -11y = 0 36 + -7y = -13 + 0 36 + -7y = -13 Add '-36' to each side of the equation. 36 + -36 + -7y = -13 + -36 Combine like terms: 36 + -36 = 0 0 + -7y = -13 + -36 -7y = -13 + -36 Combine like terms: -13 + -36 = -49 -7y = -49 Divide each side by '-7'. y = 7 Simplifying y = 7
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