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Simplifying 6y + 2(-4) = 3(y + 1) + -2 Multiply 2 * -4 6y + -8 = 3(y + 1) + -2 Reorder the terms: -8 + 6y = 3(y + 1) + -2 Reorder the terms: -8 + 6y = 3(1 + y) + -2 -8 + 6y = (1 * 3 + y * 3) + -2 -8 + 6y = (3 + 3y) + -2 Reorder the terms: -8 + 6y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -8 + 6y = 1 + 3y Solving -8 + 6y = 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. -8 + 6y + -3y = 1 + 3y + -3y Combine like terms: 6y + -3y = 3y -8 + 3y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 3y = 1 + 0 -8 + 3y = 1 Add '8' to each side of the equation. -8 + 8 + 3y = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 3y = 1 + 8 3y = 1 + 8 Combine like terms: 1 + 8 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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