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Simplifying 38 + 5y + -6 = 15y + -10 + -3y Reorder the terms: 38 + -6 + 5y = 15y + -10 + -3y Combine like terms: 38 + -6 = 32 32 + 5y = 15y + -10 + -3y Reorder the terms: 32 + 5y = -10 + 15y + -3y Combine like terms: 15y + -3y = 12y 32 + 5y = -10 + 12y Solving 32 + 5y = -10 + 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. 32 + 5y + -12y = -10 + 12y + -12y Combine like terms: 5y + -12y = -7y 32 + -7y = -10 + 12y + -12y Combine like terms: 12y + -12y = 0 32 + -7y = -10 + 0 32 + -7y = -10 Add '-32' to each side of the equation. 32 + -32 + -7y = -10 + -32 Combine like terms: 32 + -32 = 0 0 + -7y = -10 + -32 -7y = -10 + -32 Combine like terms: -10 + -32 = -42 -7y = -42 Divide each side by '-7'. y = 6 Simplifying y = 6
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