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Simplifying 8y + 12 + y = 3y + -15 + 10y Reorder the terms: 12 + 8y + y = 3y + -15 + 10y Combine like terms: 8y + y = 9y 12 + 9y = 3y + -15 + 10y Reorder the terms: 12 + 9y = -15 + 3y + 10y Combine like terms: 3y + 10y = 13y 12 + 9y = -15 + 13y Solving 12 + 9y = -15 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 12 + 9y + -13y = -15 + 13y + -13y Combine like terms: 9y + -13y = -4y 12 + -4y = -15 + 13y + -13y Combine like terms: 13y + -13y = 0 12 + -4y = -15 + 0 12 + -4y = -15 Add '-12' to each side of the equation. 12 + -12 + -4y = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -4y = -15 + -12 -4y = -15 + -12 Combine like terms: -15 + -12 = -27 -4y = -27 Divide each side by '-4'. y = 6.75 Simplifying y = 6.75
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