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Simplifying -3y + -10 = 4y + 32 Reorder the terms: -10 + -3y = 4y + 32 Reorder the terms: -10 + -3y = 32 + 4y Solving -10 + -3y = 32 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -10 + -3y + -4y = 32 + 4y + -4y Combine like terms: -3y + -4y = -7y -10 + -7y = 32 + 4y + -4y Combine like terms: 4y + -4y = 0 -10 + -7y = 32 + 0 -10 + -7y = 32 Add '10' to each side of the equation. -10 + 10 + -7y = 32 + 10 Combine like terms: -10 + 10 = 0 0 + -7y = 32 + 10 -7y = 32 + 10 Combine like terms: 32 + 10 = 42 -7y = 42 Divide each side by '-7'. y = -6 Simplifying y = -6
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