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Simplifying 7y + 4(y + -6) = 4(y + 2) + -2 Reorder the terms: 7y + 4(-6 + y) = 4(y + 2) + -2 7y + (-6 * 4 + y * 4) = 4(y + 2) + -2 7y + (-24 + 4y) = 4(y + 2) + -2 Reorder the terms: -24 + 7y + 4y = 4(y + 2) + -2 Combine like terms: 7y + 4y = 11y -24 + 11y = 4(y + 2) + -2 Reorder the terms: -24 + 11y = 4(2 + y) + -2 -24 + 11y = (2 * 4 + y * 4) + -2 -24 + 11y = (8 + 4y) + -2 Reorder the terms: -24 + 11y = 8 + -2 + 4y Combine like terms: 8 + -2 = 6 -24 + 11y = 6 + 4y Solving -24 + 11y = 6 + 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. -24 + 11y + -4y = 6 + 4y + -4y Combine like terms: 11y + -4y = 7y -24 + 7y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 -24 + 7y = 6 + 0 -24 + 7y = 6 Add '24' to each side of the equation. -24 + 24 + 7y = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 7y = 6 + 24 7y = 6 + 24 Combine like terms: 6 + 24 = 30 7y = 30 Divide each side by '7'. y = 4.285714286 Simplifying y = 4.285714286
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