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Simplifying 4y + -2(y + 2) = 6y + -2(y + -10) Reorder the terms: 4y + -2(2 + y) = 6y + -2(y + -10) 4y + (2 * -2 + y * -2) = 6y + -2(y + -10) 4y + (-4 + -2y) = 6y + -2(y + -10) Reorder the terms: -4 + 4y + -2y = 6y + -2(y + -10) Combine like terms: 4y + -2y = 2y -4 + 2y = 6y + -2(y + -10) Reorder the terms: -4 + 2y = 6y + -2(-10 + y) -4 + 2y = 6y + (-10 * -2 + y * -2) -4 + 2y = 6y + (20 + -2y) Reorder the terms: -4 + 2y = 20 + 6y + -2y Combine like terms: 6y + -2y = 4y -4 + 2y = 20 + 4y Solving -4 + 2y = 20 + 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. -4 + 2y + -4y = 20 + 4y + -4y Combine like terms: 2y + -4y = -2y -4 + -2y = 20 + 4y + -4y Combine like terms: 4y + -4y = 0 -4 + -2y = 20 + 0 -4 + -2y = 20 Add '4' to each side of the equation. -4 + 4 + -2y = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -2y = 20 + 4 -2y = 20 + 4 Combine like terms: 20 + 4 = 24 -2y = 24 Divide each side by '-2'. y = -12 Simplifying y = -12
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