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Simplifying 7y + 2(5y + -6) = 9 + -4y Reorder the terms: 7y + 2(-6 + 5y) = 9 + -4y 7y + (-6 * 2 + 5y * 2) = 9 + -4y 7y + (-12 + 10y) = 9 + -4y Reorder the terms: -12 + 7y + 10y = 9 + -4y Combine like terms: 7y + 10y = 17y -12 + 17y = 9 + -4y Solving -12 + 17y = 9 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -12 + 17y + 4y = 9 + -4y + 4y Combine like terms: 17y + 4y = 21y -12 + 21y = 9 + -4y + 4y Combine like terms: -4y + 4y = 0 -12 + 21y = 9 + 0 -12 + 21y = 9 Add '12' to each side of the equation. -12 + 12 + 21y = 9 + 12 Combine like terms: -12 + 12 = 0 0 + 21y = 9 + 12 21y = 9 + 12 Combine like terms: 9 + 12 = 21 21y = 21 Divide each side by '21'. y = 1 Simplifying y = 1
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