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Simplifying -4(4y + -7) + -1y = -2(y + -3) Reorder the terms: -4(-7 + 4y) + -1y = -2(y + -3) (-7 * -4 + 4y * -4) + -1y = -2(y + -3) (28 + -16y) + -1y = -2(y + -3) Combine like terms: -16y + -1y = -17y 28 + -17y = -2(y + -3) Reorder the terms: 28 + -17y = -2(-3 + y) 28 + -17y = (-3 * -2 + y * -2) 28 + -17y = (6 + -2y) Solving 28 + -17y = 6 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 28 + -17y + 2y = 6 + -2y + 2y Combine like terms: -17y + 2y = -15y 28 + -15y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 28 + -15y = 6 + 0 28 + -15y = 6 Add '-28' to each side of the equation. 28 + -28 + -15y = 6 + -28 Combine like terms: 28 + -28 = 0 0 + -15y = 6 + -28 -15y = 6 + -28 Combine like terms: 6 + -28 = -22 -15y = -22 Divide each side by '-15'. y = 1.466666667 Simplifying y = 1.466666667
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