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Simplifying -3(5y + -7) + 7y = 4(y + 3) Reorder the terms: -3(-7 + 5y) + 7y = 4(y + 3) (-7 * -3 + 5y * -3) + 7y = 4(y + 3) (21 + -15y) + 7y = 4(y + 3) Combine like terms: -15y + 7y = -8y 21 + -8y = 4(y + 3) Reorder the terms: 21 + -8y = 4(3 + y) 21 + -8y = (3 * 4 + y * 4) 21 + -8y = (12 + 4y) Solving 21 + -8y = 12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 21 + -8y + -4y = 12 + 4y + -4y Combine like terms: -8y + -4y = -12y 21 + -12y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 21 + -12y = 12 + 0 21 + -12y = 12 Add '-21' to each side of the equation. 21 + -21 + -12y = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -12y = 12 + -21 -12y = 12 + -21 Combine like terms: 12 + -21 = -9 -12y = -9 Divide each side by '-12'. y = 0.75 Simplifying y = 0.75
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