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Simplifying 3y + -23 = 7(2y + 3) Reorder the terms: -23 + 3y = 7(2y + 3) Reorder the terms: -23 + 3y = 7(3 + 2y) -23 + 3y = (3 * 7 + 2y * 7) -23 + 3y = (21 + 14y) Solving -23 + 3y = 21 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -23 + 3y + -14y = 21 + 14y + -14y Combine like terms: 3y + -14y = -11y -23 + -11y = 21 + 14y + -14y Combine like terms: 14y + -14y = 0 -23 + -11y = 21 + 0 -23 + -11y = 21 Add '23' to each side of the equation. -23 + 23 + -11y = 21 + 23 Combine like terms: -23 + 23 = 0 0 + -11y = 21 + 23 -11y = 21 + 23 Combine like terms: 21 + 23 = 44 -11y = 44 Divide each side by '-11'. y = -4 Simplifying y = -4
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