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Simplifying -3y + -10 = 6y + 53 Reorder the terms: -10 + -3y = 6y + 53 Reorder the terms: -10 + -3y = 53 + 6y Solving -10 + -3y = 53 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -10 + -3y + -6y = 53 + 6y + -6y Combine like terms: -3y + -6y = -9y -10 + -9y = 53 + 6y + -6y Combine like terms: 6y + -6y = 0 -10 + -9y = 53 + 0 -10 + -9y = 53 Add '10' to each side of the equation. -10 + 10 + -9y = 53 + 10 Combine like terms: -10 + 10 = 0 0 + -9y = 53 + 10 -9y = 53 + 10 Combine like terms: 53 + 10 = 63 -9y = 63 Divide each side by '-9'. y = -7 Simplifying y = -7
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