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Simplifying 8y + -12y + 10 = 6 + 2y + 36 Reorder the terms: 10 + 8y + -12y = 6 + 2y + 36 Combine like terms: 8y + -12y = -4y 10 + -4y = 6 + 2y + 36 Reorder the terms: 10 + -4y = 6 + 36 + 2y Combine like terms: 6 + 36 = 42 10 + -4y = 42 + 2y Solving 10 + -4y = 42 + 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. 10 + -4y + -2y = 42 + 2y + -2y Combine like terms: -4y + -2y = -6y 10 + -6y = 42 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + -6y = 42 + 0 10 + -6y = 42 Add '-10' to each side of the equation. 10 + -10 + -6y = 42 + -10 Combine like terms: 10 + -10 = 0 0 + -6y = 42 + -10 -6y = 42 + -10 Combine like terms: 42 + -10 = 32 -6y = 32 Divide each side by '-6'. y = -5.333333333 Simplifying y = -5.333333333
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