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Simplifying 7(-3y + -4) + 3(2y + -5) = 77 Reorder the terms: 7(-4 + -3y) + 3(2y + -5) = 77 (-4 * 7 + -3y * 7) + 3(2y + -5) = 77 (-28 + -21y) + 3(2y + -5) = 77 Reorder the terms: -28 + -21y + 3(-5 + 2y) = 77 -28 + -21y + (-5 * 3 + 2y * 3) = 77 -28 + -21y + (-15 + 6y) = 77 Reorder the terms: -28 + -15 + -21y + 6y = 77 Combine like terms: -28 + -15 = -43 -43 + -21y + 6y = 77 Combine like terms: -21y + 6y = -15y -43 + -15y = 77 Solving -43 + -15y = 77 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -15y = 77 + 43 Combine like terms: -43 + 43 = 0 0 + -15y = 77 + 43 -15y = 77 + 43 Combine like terms: 77 + 43 = 120 -15y = 120 Divide each side by '-15'. y = -8 Simplifying y = -8
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