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Simplifying -10y + 18 = -1(5y + -7) + 6y Reorder the terms: 18 + -10y = -1(5y + -7) + 6y Reorder the terms: 18 + -10y = -1(-7 + 5y) + 6y 18 + -10y = (-7 * -1 + 5y * -1) + 6y 18 + -10y = (7 + -5y) + 6y Combine like terms: -5y + 6y = 1y 18 + -10y = 7 + 1y Solving 18 + -10y = 7 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 18 + -10y + -1y = 7 + 1y + -1y Combine like terms: -10y + -1y = -11y 18 + -11y = 7 + 1y + -1y Combine like terms: 1y + -1y = 0 18 + -11y = 7 + 0 18 + -11y = 7 Add '-18' to each side of the equation. 18 + -18 + -11y = 7 + -18 Combine like terms: 18 + -18 = 0 0 + -11y = 7 + -18 -11y = 7 + -18 Combine like terms: 7 + -18 = -11 -11y = -11 Divide each side by '-11'. y = 1 Simplifying y = 1
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