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Simplifying 6y + 3(y + -2) = 4(y + 1) + -2 Reorder the terms: 6y + 3(-2 + y) = 4(y + 1) + -2 6y + (-2 * 3 + y * 3) = 4(y + 1) + -2 6y + (-6 + 3y) = 4(y + 1) + -2 Reorder the terms: -6 + 6y + 3y = 4(y + 1) + -2 Combine like terms: 6y + 3y = 9y -6 + 9y = 4(y + 1) + -2 Reorder the terms: -6 + 9y = 4(1 + y) + -2 -6 + 9y = (1 * 4 + y * 4) + -2 -6 + 9y = (4 + 4y) + -2 Reorder the terms: -6 + 9y = 4 + -2 + 4y Combine like terms: 4 + -2 = 2 -6 + 9y = 2 + 4y Solving -6 + 9y = 2 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -6 + 9y + -4y = 2 + 4y + -4y Combine like terms: 9y + -4y = 5y -6 + 5y = 2 + 4y + -4y Combine like terms: 4y + -4y = 0 -6 + 5y = 2 + 0 -6 + 5y = 2 Add '6' to each side of the equation. -6 + 6 + 5y = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 2 + 6 5y = 2 + 6 Combine like terms: 2 + 6 = 8 5y = 8 Divide each side by '5'. y = 1.6 Simplifying y = 1.6
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