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Simplifying 7y + 4(y + -6) = 3(y + 1) + -2 Reorder the terms: 7y + 4(-6 + y) = 3(y + 1) + -2 7y + (-6 * 4 + y * 4) = 3(y + 1) + -2 7y + (-24 + 4y) = 3(y + 1) + -2 Reorder the terms: -24 + 7y + 4y = 3(y + 1) + -2 Combine like terms: 7y + 4y = 11y -24 + 11y = 3(y + 1) + -2 Reorder the terms: -24 + 11y = 3(1 + y) + -2 -24 + 11y = (1 * 3 + y * 3) + -2 -24 + 11y = (3 + 3y) + -2 Reorder the terms: -24 + 11y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -24 + 11y = 1 + 3y Solving -24 + 11y = 1 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -24 + 11y + -3y = 1 + 3y + -3y Combine like terms: 11y + -3y = 8y -24 + 8y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -24 + 8y = 1 + 0 -24 + 8y = 1 Add '24' to each side of the equation. -24 + 24 + 8y = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 8y = 1 + 24 8y = 1 + 24 Combine like terms: 1 + 24 = 25 8y = 25 Divide each side by '8'. y = 3.125 Simplifying y = 3.125
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