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Simplifying -542y + 21(2y + -7) = 23(5y + -8) + 21 Reorder the terms: -542y + 21(-7 + 2y) = 23(5y + -8) + 21 -542y + (-7 * 21 + 2y * 21) = 23(5y + -8) + 21 -542y + (-147 + 42y) = 23(5y + -8) + 21 Reorder the terms: -147 + -542y + 42y = 23(5y + -8) + 21 Combine like terms: -542y + 42y = -500y -147 + -500y = 23(5y + -8) + 21 Reorder the terms: -147 + -500y = 23(-8 + 5y) + 21 -147 + -500y = (-8 * 23 + 5y * 23) + 21 -147 + -500y = (-184 + 115y) + 21 Reorder the terms: -147 + -500y = -184 + 21 + 115y Combine like terms: -184 + 21 = -163 -147 + -500y = -163 + 115y Solving -147 + -500y = -163 + 115y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-115y' to each side of the equation. -147 + -500y + -115y = -163 + 115y + -115y Combine like terms: -500y + -115y = -615y -147 + -615y = -163 + 115y + -115y Combine like terms: 115y + -115y = 0 -147 + -615y = -163 + 0 -147 + -615y = -163 Add '147' to each side of the equation. -147 + 147 + -615y = -163 + 147 Combine like terms: -147 + 147 = 0 0 + -615y = -163 + 147 -615y = -163 + 147 Combine like terms: -163 + 147 = -16 -615y = -16 Divide each side by '-615'. y = 0.02601626016 Simplifying y = 0.02601626016
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