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Simplifying 4y + 5 = 3(2y + -7) Reorder the terms: 5 + 4y = 3(2y + -7) Reorder the terms: 5 + 4y = 3(-7 + 2y) 5 + 4y = (-7 * 3 + 2y * 3) 5 + 4y = (-21 + 6y) Solving 5 + 4y = -21 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 5 + 4y + -6y = -21 + 6y + -6y Combine like terms: 4y + -6y = -2y 5 + -2y = -21 + 6y + -6y Combine like terms: 6y + -6y = 0 5 + -2y = -21 + 0 5 + -2y = -21 Add '-5' to each side of the equation. 5 + -5 + -2y = -21 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = -21 + -5 -2y = -21 + -5 Combine like terms: -21 + -5 = -26 -2y = -26 Divide each side by '-2'. y = 13 Simplifying y = 13
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