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Simplifying -41 + 4y + 3 = 3(3y + -3) + -9 Reorder the terms: -41 + 3 + 4y = 3(3y + -3) + -9 Combine like terms: -41 + 3 = -38 -38 + 4y = 3(3y + -3) + -9 Reorder the terms: -38 + 4y = 3(-3 + 3y) + -9 -38 + 4y = (-3 * 3 + 3y * 3) + -9 -38 + 4y = (-9 + 9y) + -9 Reorder the terms: -38 + 4y = -9 + -9 + 9y Combine like terms: -9 + -9 = -18 -38 + 4y = -18 + 9y Solving -38 + 4y = -18 + 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. -38 + 4y + -9y = -18 + 9y + -9y Combine like terms: 4y + -9y = -5y -38 + -5y = -18 + 9y + -9y Combine like terms: 9y + -9y = 0 -38 + -5y = -18 + 0 -38 + -5y = -18 Add '38' to each side of the equation. -38 + 38 + -5y = -18 + 38 Combine like terms: -38 + 38 = 0 0 + -5y = -18 + 38 -5y = -18 + 38 Combine like terms: -18 + 38 = 20 -5y = 20 Divide each side by '-5'. y = -4 Simplifying y = -4
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