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Simplifying 3 + -6y + 4 = 4y + 15 + -6y Reorder the terms: 3 + 4 + -6y = 4y + 15 + -6y Combine like terms: 3 + 4 = 7 7 + -6y = 4y + 15 + -6y Reorder the terms: 7 + -6y = 15 + 4y + -6y Combine like terms: 4y + -6y = -2y 7 + -6y = 15 + -2y Solving 7 + -6y = 15 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 7 + -6y + 2y = 15 + -2y + 2y Combine like terms: -6y + 2y = -4y 7 + -4y = 15 + -2y + 2y Combine like terms: -2y + 2y = 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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