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Simplifying 3(2y + -4) + 2y + 2 = 2y + 7 + y + 8 Reorder the terms: 3(-4 + 2y) + 2y + 2 = 2y + 7 + y + 8 (-4 * 3 + 2y * 3) + 2y + 2 = 2y + 7 + y + 8 (-12 + 6y) + 2y + 2 = 2y + 7 + y + 8 Reorder the terms: -12 + 2 + 6y + 2y = 2y + 7 + y + 8 Combine like terms: -12 + 2 = -10 -10 + 6y + 2y = 2y + 7 + y + 8 Combine like terms: 6y + 2y = 8y -10 + 8y = 2y + 7 + y + 8 Reorder the terms: -10 + 8y = 7 + 8 + 2y + y Combine like terms: 7 + 8 = 15 -10 + 8y = 15 + 2y + y Combine like terms: 2y + y = 3y -10 + 8y = 15 + 3y Solving -10 + 8y = 15 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -10 + 8y + -3y = 15 + 3y + -3y Combine like terms: 8y + -3y = 5y -10 + 5y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 -10 + 5y = 15 + 0 -10 + 5y = 15 Add '10' to each side of the equation. -10 + 10 + 5y = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 5y = 15 + 10 5y = 15 + 10 Combine like terms: 15 + 10 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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