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Simplifying 6y + 3 + 5y + 7 = 15y + -22 Reorder the terms: 3 + 7 + 6y + 5y = 15y + -22 Combine like terms: 3 + 7 = 10 10 + 6y + 5y = 15y + -22 Combine like terms: 6y + 5y = 11y 10 + 11y = 15y + -22 Reorder the terms: 10 + 11y = -22 + 15y Solving 10 + 11y = -22 + 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. 10 + 11y + -15y = -22 + 15y + -15y Combine like terms: 11y + -15y = -4y 10 + -4y = -22 + 15y + -15y Combine like terms: 15y + -15y = 0 10 + -4y = -22 + 0 10 + -4y = -22 Add '-10' to each side of the equation. 10 + -10 + -4y = -22 + -10 Combine like terms: 10 + -10 = 0 0 + -4y = -22 + -10 -4y = -22 + -10 Combine like terms: -22 + -10 = -32 -4y = -32 Divide each side by '-4'. y = 8 Simplifying y = 8
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