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Simplifying 6(y + -10) = 4y + 52 Reorder the terms: 6(-10 + y) = 4y + 52 (-10 * 6 + y * 6) = 4y + 52 (-60 + 6y) = 4y + 52 Reorder the terms: -60 + 6y = 52 + 4y Solving -60 + 6y = 52 + 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. -60 + 6y + -4y = 52 + 4y + -4y Combine like terms: 6y + -4y = 2y -60 + 2y = 52 + 4y + -4y Combine like terms: 4y + -4y = 0 -60 + 2y = 52 + 0 -60 + 2y = 52 Add '60' to each side of the equation. -60 + 60 + 2y = 52 + 60 Combine like terms: -60 + 60 = 0 0 + 2y = 52 + 60 2y = 52 + 60 Combine like terms: 52 + 60 = 112 2y = 112 Divide each side by '2'. y = 56 Simplifying y = 56
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