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Simplifying 4y + -7(y + 6) = 5y + 2 Reorder the terms: 4y + -7(6 + y) = 5y + 2 4y + (6 * -7 + y * -7) = 5y + 2 4y + (-42 + -7y) = 5y + 2 Reorder the terms: -42 + 4y + -7y = 5y + 2 Combine like terms: 4y + -7y = -3y -42 + -3y = 5y + 2 Reorder the terms: -42 + -3y = 2 + 5y Solving -42 + -3y = 2 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -42 + -3y + -5y = 2 + 5y + -5y Combine like terms: -3y + -5y = -8y -42 + -8y = 2 + 5y + -5y Combine like terms: 5y + -5y = 0 -42 + -8y = 2 + 0 -42 + -8y = 2 Add '42' to each side of the equation. -42 + 42 + -8y = 2 + 42 Combine like terms: -42 + 42 = 0 0 + -8y = 2 + 42 -8y = 2 + 42 Combine like terms: 2 + 42 = 44 -8y = 44 Divide each side by '-8'. y = -5.5 Simplifying y = -5.5
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