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Simplifying -57 + 10y + 4 = 3(3y + -3) + -3 Reorder the terms: -57 + 4 + 10y = 3(3y + -3) + -3 Combine like terms: -57 + 4 = -53 -53 + 10y = 3(3y + -3) + -3 Reorder the terms: -53 + 10y = 3(-3 + 3y) + -3 -53 + 10y = (-3 * 3 + 3y * 3) + -3 -53 + 10y = (-9 + 9y) + -3 Reorder the terms: -53 + 10y = -9 + -3 + 9y Combine like terms: -9 + -3 = -12 -53 + 10y = -12 + 9y Solving -53 + 10y = -12 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -53 + 10y + -9y = -12 + 9y + -9y Combine like terms: 10y + -9y = 1y -53 + 1y = -12 + 9y + -9y Combine like terms: 9y + -9y = 0 -53 + 1y = -12 + 0 -53 + 1y = -12 Add '53' to each side of the equation. -53 + 53 + 1y = -12 + 53 Combine like terms: -53 + 53 = 0 0 + 1y = -12 + 53 1y = -12 + 53 Combine like terms: -12 + 53 = 41 1y = 41 Divide each side by '1'. y = 41 Simplifying y = 41
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