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Simplifying -2y + 7 = -3(2y + -5) Reorder the terms: 7 + -2y = -3(2y + -5) Reorder the terms: 7 + -2y = -3(-5 + 2y) 7 + -2y = (-5 * -3 + 2y * -3) 7 + -2y = (15 + -6y) Solving 7 + -2y = 15 + -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. 7 + -2y + 6y = 15 + -6y + 6y Combine like terms: -2y + 6y = 4y 7 + 4y = 15 + -6y + 6y Combine like terms: -6y + 6y = 0 7 + 4y = 15 + 0 7 + 4y = 15 Add '-7' to each side of the equation. 7 + -7 + 4y = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = 15 + -7 4y = 15 + -7 Combine like terms: 15 + -7 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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