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Simplifying 3 + -4(-2y + 47) = (4y + -7) + 7 Reorder the terms: 3 + -4(47 + -2y) = (4y + -7) + 7 3 + (47 * -4 + -2y * -4) = (4y + -7) + 7 3 + (-188 + 8y) = (4y + -7) + 7 Combine like terms: 3 + -188 = -185 -185 + 8y = (4y + -7) + 7 Reorder the terms: -185 + 8y = (-7 + 4y) + 7 Remove parenthesis around (-7 + 4y) -185 + 8y = -7 + 4y + 7 Reorder the terms: -185 + 8y = -7 + 7 + 4y Combine like terms: -7 + 7 = 0 -185 + 8y = 0 + 4y -185 + 8y = 4y Solving -185 + 8y = 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -185 + 8y + -4y = 4y + -4y Combine like terms: 8y + -4y = 4y -185 + 4y = 4y + -4y Combine like terms: 4y + -4y = 0 -185 + 4y = 0 Add '185' to each side of the equation. -185 + 185 + 4y = 0 + 185 Combine like terms: -185 + 185 = 0 0 + 4y = 0 + 185 4y = 0 + 185 Combine like terms: 0 + 185 = 185 4y = 185 Divide each side by '4'. y = 46.25 Simplifying y = 46.25
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