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Simplifying 5y + -3(y + -7) = 6(y + 1) + -4 Reorder the terms: 5y + -3(-7 + y) = 6(y + 1) + -4 5y + (-7 * -3 + y * -3) = 6(y + 1) + -4 5y + (21 + -3y) = 6(y + 1) + -4 Reorder the terms: 21 + 5y + -3y = 6(y + 1) + -4 Combine like terms: 5y + -3y = 2y 21 + 2y = 6(y + 1) + -4 Reorder the terms: 21 + 2y = 6(1 + y) + -4 21 + 2y = (1 * 6 + y * 6) + -4 21 + 2y = (6 + 6y) + -4 Reorder the terms: 21 + 2y = 6 + -4 + 6y Combine like terms: 6 + -4 = 2 21 + 2y = 2 + 6y Solving 21 + 2y = 2 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 21 + 2y + -6y = 2 + 6y + -6y Combine like terms: 2y + -6y = -4y 21 + -4y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 21 + -4y = 2 + 0 21 + -4y = 2 Add '-21' to each side of the equation. 21 + -21 + -4y = 2 + -21 Combine like terms: 21 + -21 = 0 0 + -4y = 2 + -21 -4y = 2 + -21 Combine like terms: 2 + -21 = -19 -4y = -19 Divide each side by '-4'. y = 4.75 Simplifying y = 4.75
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