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Simplifying 11(y + -2) + 3y = -7y + 114 Reorder the terms: 11(-2 + y) + 3y = -7y + 114 (-2 * 11 + y * 11) + 3y = -7y + 114 (-22 + 11y) + 3y = -7y + 114 Combine like terms: 11y + 3y = 14y -22 + 14y = -7y + 114 Reorder the terms: -22 + 14y = 114 + -7y Solving -22 + 14y = 114 + -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. -22 + 14y + 7y = 114 + -7y + 7y Combine like terms: 14y + 7y = 21y -22 + 21y = 114 + -7y + 7y Combine like terms: -7y + 7y = 0 -22 + 21y = 114 + 0 -22 + 21y = 114 Add '22' to each side of the equation. -22 + 22 + 21y = 114 + 22 Combine like terms: -22 + 22 = 0 0 + 21y = 114 + 22 21y = 114 + 22 Combine like terms: 114 + 22 = 136 21y = 136 Divide each side by '21'. y = 6.476190476 Simplifying y = 6.476190476
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