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Simplifying 4(y + 3) = 3(5y + -7) Reorder the terms: 4(3 + y) = 3(5y + -7) (3 * 4 + y * 4) = 3(5y + -7) (12 + 4y) = 3(5y + -7) Reorder the terms: 12 + 4y = 3(-7 + 5y) 12 + 4y = (-7 * 3 + 5y * 3) 12 + 4y = (-21 + 15y) Solving 12 + 4y = -21 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 12 + 4y + -15y = -21 + 15y + -15y Combine like terms: 4y + -15y = -11y 12 + -11y = -21 + 15y + -15y Combine like terms: 15y + -15y = 0 12 + -11y = -21 + 0 12 + -11y = -21 Add '-12' to each side of the equation. 12 + -12 + -11y = -21 + -12 Combine like terms: 12 + -12 = 0 0 + -11y = -21 + -12 -11y = -21 + -12 Combine like terms: -21 + -12 = -33 -11y = -33 Divide each side by '-11'. y = 3 Simplifying y = 3
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