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