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Simplifying 4(2y + 1) = 4(3y + -10) Reorder the terms: 4(1 + 2y) = 4(3y + -10) (1 * 4 + 2y * 4) = 4(3y + -10) (4 + 8y) = 4(3y + -10) Reorder the terms: 4 + 8y = 4(-10 + 3y) 4 + 8y = (-10 * 4 + 3y * 4) 4 + 8y = (-40 + 12y) Solving 4 + 8y = -40 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 4 + 8y + -12y = -40 + 12y + -12y Combine like terms: 8y + -12y = -4y 4 + -4y = -40 + 12y + -12y Combine like terms: 12y + -12y = 0 4 + -4y = -40 + 0 4 + -4y = -40 Add '-4' to each side of the equation. 4 + -4 + -4y = -40 + -4 Combine like terms: 4 + -4 = 0 0 + -4y = -40 + -4 -4y = -40 + -4 Combine like terms: -40 + -4 = -44 -4y = -44 Divide each side by '-4'. y = 11 Simplifying y = 11
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