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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 = -18y -7 + -18y = 1 + 11y + -11y Combine like terms: 11y + -11y = 0 -7 + -18y = 1 + 0 -7 + -18y = 1 Add '7' to each side of the equation. -7 + 7 + -18y = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -18y = 1 + 7 -18y = 1 + 7 Combine like terms: 1 + 7 = 8 -18y = 8 Divide each side by '-18'. y = -0.4444444444 Simplifying y = -0.4444444444
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