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Simplifying 4(4y + -3) + -1(y + -5) = -52 Reorder the terms: 4(-3 + 4y) + -1(y + -5) = -52 (-3 * 4 + 4y * 4) + -1(y + -5) = -52 (-12 + 16y) + -1(y + -5) = -52 Reorder the terms: -12 + 16y + -1(-5 + y) = -52 -12 + 16y + (-5 * -1 + y * -1) = -52 -12 + 16y + (5 + -1y) = -52 Reorder the terms: -12 + 5 + 16y + -1y = -52 Combine like terms: -12 + 5 = -7 -7 + 16y + -1y = -52 Combine like terms: 16y + -1y = 15y -7 + 15y = -52 Solving -7 + 15y = -52 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 15y = -52 + 7 Combine like terms: -7 + 7 = 0 0 + 15y = -52 + 7 15y = -52 + 7 Combine like terms: -52 + 7 = -45 15y = -45 Divide each side by '15'. y = -3 Simplifying y = -3
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