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Simplifying 51 + 4y + -13 = 15y + -11 + -4y Reorder the terms: 51 + -13 + 4y = 15y + -11 + -4y Combine like terms: 51 + -13 = 38 38 + 4y = 15y + -11 + -4y Reorder the terms: 38 + 4y = -11 + 15y + -4y Combine like terms: 15y + -4y = 11y 38 + 4y = -11 + 11y Solving 38 + 4y = -11 + 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. 38 + 4y + -11y = -11 + 11y + -11y Combine like terms: 4y + -11y = -7y 38 + -7y = -11 + 11y + -11y Combine like terms: 11y + -11y = 0 38 + -7y = -11 + 0 38 + -7y = -11 Add '-38' to each side of the equation. 38 + -38 + -7y = -11 + -38 Combine like terms: 38 + -38 = 0 0 + -7y = -11 + -38 -7y = -11 + -38 Combine like terms: -11 + -38 = -49 -7y = -49 Divide each side by '-7'. y = 7 Simplifying y = 7
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