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Simplifying 4(y + -2) + 6y = 2(3y + 2) Reorder the terms: 4(-2 + y) + 6y = 2(3y + 2) (-2 * 4 + y * 4) + 6y = 2(3y + 2) (-8 + 4y) + 6y = 2(3y + 2) Combine like terms: 4y + 6y = 10y -8 + 10y = 2(3y + 2) Reorder the terms: -8 + 10y = 2(2 + 3y) -8 + 10y = (2 * 2 + 3y * 2) -8 + 10y = (4 + 6y) Solving -8 + 10y = 4 + 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. -8 + 10y + -6y = 4 + 6y + -6y Combine like terms: 10y + -6y = 4y -8 + 4y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 -8 + 4y = 4 + 0 -8 + 4y = 4 Add '8' to each side of the equation. -8 + 8 + 4y = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 4y = 4 + 8 4y = 4 + 8 Combine like terms: 4 + 8 = 12 4y = 12 Divide each side by '4'. y = 3 Simplifying y = 3
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