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Simplifying 7(-3 + 2) = 8(-2y + -3) + -2 Combine like terms: -3 + 2 = -1 7(-1) = 8(-2y + -3) + -2 Multiply 7 * -1 -7 = 8(-2y + -3) + -2 Reorder the terms: -7 = 8(-3 + -2y) + -2 -7 = (-3 * 8 + -2y * 8) + -2 -7 = (-24 + -16y) + -2 Reorder the terms: -7 = -24 + -2 + -16y Combine like terms: -24 + -2 = -26 -7 = -26 + -16y Solving -7 = -26 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. -7 + 16y = -26 + -16y + 16y Combine like terms: -16y + 16y = 0 -7 + 16y = -26 + 0 -7 + 16y = -26 Add '7' to each side of the equation. -7 + 7 + 16y = -26 + 7 Combine like terms: -7 + 7 = 0 0 + 16y = -26 + 7 16y = -26 + 7 Combine like terms: -26 + 7 = -19 16y = -19 Divide each side by '16'. y = -1.1875 Simplifying y = -1.1875
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