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Simplifying -4(4y + -7) = 3(y + -4) Reorder the terms: -4(-7 + 4y) = 3(y + -4) (-7 * -4 + 4y * -4) = 3(y + -4) (28 + -16y) = 3(y + -4) Reorder the terms: 28 + -16y = 3(-4 + y) 28 + -16y = (-4 * 3 + y * 3) 28 + -16y = (-12 + 3y) Solving 28 + -16y = -12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 28 + -16y + -3y = -12 + 3y + -3y Combine like terms: -16y + -3y = -19y 28 + -19y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 28 + -19y = -12 + 0 28 + -19y = -12 Add '-28' to each side of the equation. 28 + -28 + -19y = -12 + -28 Combine like terms: 28 + -28 = 0 0 + -19y = -12 + -28 -19y = -12 + -28 Combine like terms: -12 + -28 = -40 -19y = -40 Divide each side by '-19'. y = 2.105263158 Simplifying y = 2.105263158
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