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Simplifying 2y + 10 = 53 + -1(2y + 3) Reorder the terms: 10 + 2y = 53 + -1(2y + 3) Reorder the terms: 10 + 2y = 53 + -1(3 + 2y) 10 + 2y = 53 + (3 * -1 + 2y * -1) 10 + 2y = 53 + (-3 + -2y) Combine like terms: 53 + -3 = 50 10 + 2y = 50 + -2y Solving 10 + 2y = 50 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 10 + 2y + 2y = 50 + -2y + 2y Combine like terms: 2y + 2y = 4y 10 + 4y = 50 + -2y + 2y Combine like terms: -2y + 2y = 0 10 + 4y = 50 + 0 10 + 4y = 50 Add '-10' to each side of the equation. 10 + -10 + 4y = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 4y = 50 + -10 4y = 50 + -10 Combine like terms: 50 + -10 = 40 4y = 40 Divide each side by '4'. y = 10 Simplifying y = 10
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