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Simplifying 9 + 2(2y + -7) = -2(6y + -2) + 4y Reorder the terms: 9 + 2(-7 + 2y) = -2(6y + -2) + 4y 9 + (-7 * 2 + 2y * 2) = -2(6y + -2) + 4y 9 + (-14 + 4y) = -2(6y + -2) + 4y Combine like terms: 9 + -14 = -5 -5 + 4y = -2(6y + -2) + 4y Reorder the terms: -5 + 4y = -2(-2 + 6y) + 4y -5 + 4y = (-2 * -2 + 6y * -2) + 4y -5 + 4y = (4 + -12y) + 4y Combine like terms: -12y + 4y = -8y -5 + 4y = 4 + -8y Solving -5 + 4y = 4 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -5 + 4y + 8y = 4 + -8y + 8y Combine like terms: 4y + 8y = 12y -5 + 12y = 4 + -8y + 8y Combine like terms: -8y + 8y = 0 -5 + 12y = 4 + 0 -5 + 12y = 4 Add '5' to each side of the equation. -5 + 5 + 12y = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 12y = 4 + 5 12y = 4 + 5 Combine like terms: 4 + 5 = 9 12y = 9 Divide each side by '12'. y = 0.75 Simplifying y = 0.75
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