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Simplifying 7(y + 1) = y + -9 + 5(2y + 2) Reorder the terms: 7(1 + y) = y + -9 + 5(2y + 2) (1 * 7 + y * 7) = y + -9 + 5(2y + 2) (7 + 7y) = y + -9 + 5(2y + 2) Reorder the terms: 7 + 7y = y + -9 + 5(2 + 2y) 7 + 7y = y + -9 + (2 * 5 + 2y * 5) 7 + 7y = y + -9 + (10 + 10y) Reorder the terms: 7 + 7y = -9 + 10 + y + 10y Combine like terms: -9 + 10 = 1 7 + 7y = 1 + y + 10y Combine like terms: y + 10y = 11y 7 + 7y = 1 + 11y Solving 7 + 7y = 1 + 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. 7 + 7y + -11y = 1 + 11y + -11y Combine like terms: 7y + -11y = -4y 7 + -4y = 1 + 11y + -11y Combine like terms: 11y + -11y = 0 7 + -4y = 1 + 0 7 + -4y = 1 Add '-7' to each side of the equation. 7 + -7 + -4y = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -4y = 1 + -7 -4y = 1 + -7 Combine like terms: 1 + -7 = -6 -4y = -6 Divide each side by '-4'. y = 1.5 Simplifying y = 1.5
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