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Simplifying 4(y + -7) + -1 = -7(-4y + 3) + -8y Reorder the terms: 4(-7 + y) + -1 = -7(-4y + 3) + -8y (-7 * 4 + y * 4) + -1 = -7(-4y + 3) + -8y (-28 + 4y) + -1 = -7(-4y + 3) + -8y Reorder the terms: -28 + -1 + 4y = -7(-4y + 3) + -8y Combine like terms: -28 + -1 = -29 -29 + 4y = -7(-4y + 3) + -8y Reorder the terms: -29 + 4y = -7(3 + -4y) + -8y -29 + 4y = (3 * -7 + -4y * -7) + -8y -29 + 4y = (-21 + 28y) + -8y Combine like terms: 28y + -8y = 20y -29 + 4y = -21 + 20y Solving -29 + 4y = -21 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -29 + 4y + -20y = -21 + 20y + -20y Combine like terms: 4y + -20y = -16y -29 + -16y = -21 + 20y + -20y Combine like terms: 20y + -20y = 0 -29 + -16y = -21 + 0 -29 + -16y = -21 Add '29' to each side of the equation. -29 + 29 + -16y = -21 + 29 Combine like terms: -29 + 29 = 0 0 + -16y = -21 + 29 -16y = -21 + 29 Combine like terms: -21 + 29 = 8 -16y = 8 Divide each side by '-16'. y = -0.5 Simplifying y = -0.5
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