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Simplifying -41 + 13y + 7 = 5(3y + -4) + -4 Reorder the terms: -41 + 7 + 13y = 5(3y + -4) + -4 Combine like terms: -41 + 7 = -34 -34 + 13y = 5(3y + -4) + -4 Reorder the terms: -34 + 13y = 5(-4 + 3y) + -4 -34 + 13y = (-4 * 5 + 3y * 5) + -4 -34 + 13y = (-20 + 15y) + -4 Reorder the terms: -34 + 13y = -20 + -4 + 15y Combine like terms: -20 + -4 = -24 -34 + 13y = -24 + 15y Solving -34 + 13y = -24 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -34 + 13y + -15y = -24 + 15y + -15y Combine like terms: 13y + -15y = -2y -34 + -2y = -24 + 15y + -15y Combine like terms: 15y + -15y = 0 -34 + -2y = -24 + 0 -34 + -2y = -24 Add '34' to each side of the equation. -34 + 34 + -2y = -24 + 34 Combine like terms: -34 + 34 = 0 0 + -2y = -24 + 34 -2y = -24 + 34 Combine like terms: -24 + 34 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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