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Simplifying 30 + 4y + -10 = 17y + -12 + -5y Reorder the terms: 30 + -10 + 4y = 17y + -12 + -5y Combine like terms: 30 + -10 = 20 20 + 4y = 17y + -12 + -5y Reorder the terms: 20 + 4y = -12 + 17y + -5y Combine like terms: 17y + -5y = 12y 20 + 4y = -12 + 12y Solving 20 + 4y = -12 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 20 + 4y + -12y = -12 + 12y + -12y Combine like terms: 4y + -12y = -8y 20 + -8y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 20 + -8y = -12 + 0 20 + -8y = -12 Add '-20' to each side of the equation. 20 + -20 + -8y = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -8y = -12 + -20 -8y = -12 + -20 Combine like terms: -12 + -20 = -32 -8y = -32 Divide each side by '-8'. y = 4 Simplifying y = 4
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