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Simplifying (5y + 5) + (2y + 5) = 11y + -14 Reorder the terms: (5 + 5y) + (2y + 5) = 11y + -14 Remove parenthesis around (5 + 5y) 5 + 5y + (2y + 5) = 11y + -14 Reorder the terms: 5 + 5y + (5 + 2y) = 11y + -14 Remove parenthesis around (5 + 2y) 5 + 5y + 5 + 2y = 11y + -14 Reorder the terms: 5 + 5 + 5y + 2y = 11y + -14 Combine like terms: 5 + 5 = 10 10 + 5y + 2y = 11y + -14 Combine like terms: 5y + 2y = 7y 10 + 7y = 11y + -14 Reorder the terms: 10 + 7y = -14 + 11y Solving 10 + 7y = -14 + 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. 10 + 7y + -11y = -14 + 11y + -11y Combine like terms: 7y + -11y = -4y 10 + -4y = -14 + 11y + -11y Combine like terms: 11y + -11y = 0 10 + -4y = -14 + 0 10 + -4y = -14 Add '-10' to each side of the equation. 10 + -10 + -4y = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -4y = -14 + -10 -4y = -14 + -10 Combine like terms: -14 + -10 = -24 -4y = -24 Divide each side by '-4'. y = 6 Simplifying y = 6
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