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Simplifying -10 + 7y + -4y + -24 = 1 + 10y Reorder the terms: -10 + -24 + 7y + -4y = 1 + 10y Combine like terms: -10 + -24 = -34 -34 + 7y + -4y = 1 + 10y Combine like terms: 7y + -4y = 3y -34 + 3y = 1 + 10y Solving -34 + 3y = 1 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -34 + 3y + -10y = 1 + 10y + -10y Combine like terms: 3y + -10y = -7y -34 + -7y = 1 + 10y + -10y Combine like terms: 10y + -10y = 0 -34 + -7y = 1 + 0 -34 + -7y = 1 Add '34' to each side of the equation. -34 + 34 + -7y = 1 + 34 Combine like terms: -34 + 34 = 0 0 + -7y = 1 + 34 -7y = 1 + 34 Combine like terms: 1 + 34 = 35 -7y = 35 Divide each side by '-7'. y = -5 Simplifying y = -5
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