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Simplifying 10 + 2(2y + 1) = 7y + -3 Reorder the terms: 10 + 2(1 + 2y) = 7y + -3 10 + (1 * 2 + 2y * 2) = 7y + -3 10 + (2 + 4y) = 7y + -3 Combine like terms: 10 + 2 = 12 12 + 4y = 7y + -3 Reorder the terms: 12 + 4y = -3 + 7y Solving 12 + 4y = -3 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 12 + 4y + -7y = -3 + 7y + -7y Combine like terms: 4y + -7y = -3y 12 + -3y = -3 + 7y + -7y Combine like terms: 7y + -7y = 0 12 + -3y = -3 + 0 12 + -3y = -3 Add '-12' to each side of the equation. 12 + -12 + -3y = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -3y = -3 + -12 -3y = -3 + -12 Combine like terms: -3 + -12 = -15 -3y = -15 Divide each side by '-3'. y = 5 Simplifying y = 5
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