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Simplifying 5(2y + -1) + -3(4y + -7) = 2y Reorder the terms: 5(-1 + 2y) + -3(4y + -7) = 2y (-1 * 5 + 2y * 5) + -3(4y + -7) = 2y (-5 + 10y) + -3(4y + -7) = 2y Reorder the terms: -5 + 10y + -3(-7 + 4y) = 2y -5 + 10y + (-7 * -3 + 4y * -3) = 2y -5 + 10y + (21 + -12y) = 2y Reorder the terms: -5 + 21 + 10y + -12y = 2y Combine like terms: -5 + 21 = 16 16 + 10y + -12y = 2y Combine like terms: 10y + -12y = -2y 16 + -2y = 2y Solving 16 + -2y = 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. 16 + -2y + -2y = 2y + -2y Combine like terms: -2y + -2y = -4y 16 + -4y = 2y + -2y Combine like terms: 2y + -2y = 0 16 + -4y = 0 Add '-16' to each side of the equation. 16 + -16 + -4y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4y = 0 + -16 -4y = 0 + -16 Combine like terms: 0 + -16 = -16 -4y = -16 Divide each side by '-4'. y = 4 Simplifying y = 4
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