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Simplifying 3(y + 1) + -5y = 12 + -1(6y + -7) Reorder the terms: 3(1 + y) + -5y = 12 + -1(6y + -7) (1 * 3 + y * 3) + -5y = 12 + -1(6y + -7) (3 + 3y) + -5y = 12 + -1(6y + -7) Combine like terms: 3y + -5y = -2y 3 + -2y = 12 + -1(6y + -7) Reorder the terms: 3 + -2y = 12 + -1(-7 + 6y) 3 + -2y = 12 + (-7 * -1 + 6y * -1) 3 + -2y = 12 + (7 + -6y) Combine like terms: 12 + 7 = 19 3 + -2y = 19 + -6y Solving 3 + -2y = 19 + -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. 3 + -2y + 6y = 19 + -6y + 6y Combine like terms: -2y + 6y = 4y 3 + 4y = 19 + -6y + 6y Combine like terms: -6y + 6y = 0 3 + 4y = 19 + 0 3 + 4y = 19 Add '-3' to each side of the equation. 3 + -3 + 4y = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 4y = 19 + -3 4y = 19 + -3 Combine like terms: 19 + -3 = 16 4y = 16 Divide each side by '4'. y = 4 Simplifying y = 4
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