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