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Simplifying 2y + 2(y + -2) = 6y + -4(y + -10) Reorder the terms: 2y + 2(-2 + y) = 6y + -4(y + -10) 2y + (-2 * 2 + y * 2) = 6y + -4(y + -10) 2y + (-4 + 2y) = 6y + -4(y + -10) Reorder the terms: -4 + 2y + 2y = 6y + -4(y + -10) Combine like terms: 2y + 2y = 4y -4 + 4y = 6y + -4(y + -10) Reorder the terms: -4 + 4y = 6y + -4(-10 + y) -4 + 4y = 6y + (-10 * -4 + y * -4) -4 + 4y = 6y + (40 + -4y) Reorder the terms: -4 + 4y = 40 + 6y + -4y Combine like terms: 6y + -4y = 2y -4 + 4y = 40 + 2y Solving -4 + 4y = 40 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -4 + 4y + -2y = 40 + 2y + -2y Combine like terms: 4y + -2y = 2y -4 + 2y = 40 + 2y + -2y Combine like terms: 2y + -2y = 0 -4 + 2y = 40 + 0 -4 + 2y = 40 Add '4' to each side of the equation. -4 + 4 + 2y = 40 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = 40 + 4 2y = 40 + 4 Combine like terms: 40 + 4 = 44 2y = 44 Divide each side by '2'. y = 22 Simplifying y = 22
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