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Simplifying 10y + -7 = 15y + 33 Reorder the terms: -7 + 10y = 15y + 33 Reorder the terms: -7 + 10y = 33 + 15y Solving -7 + 10y = 33 + 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. -7 + 10y + -15y = 33 + 15y + -15y Combine like terms: 10y + -15y = -5y -7 + -5y = 33 + 15y + -15y Combine like terms: 15y + -15y = 0 -7 + -5y = 33 + 0 -7 + -5y = 33 Add '7' to each side of the equation. -7 + 7 + -5y = 33 + 7 Combine like terms: -7 + 7 = 0 0 + -5y = 33 + 7 -5y = 33 + 7 Combine like terms: 33 + 7 = 40 -5y = 40 Divide each side by '-5'. y = -8 Simplifying y = -8
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