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Simplifying -2(3y + -7) + 4y = 4 + 2(5y + -4) Reorder the terms: -2(-7 + 3y) + 4y = 4 + 2(5y + -4) (-7 * -2 + 3y * -2) + 4y = 4 + 2(5y + -4) (14 + -6y) + 4y = 4 + 2(5y + -4) Combine like terms: -6y + 4y = -2y 14 + -2y = 4 + 2(5y + -4) Reorder the terms: 14 + -2y = 4 + 2(-4 + 5y) 14 + -2y = 4 + (-4 * 2 + 5y * 2) 14 + -2y = 4 + (-8 + 10y) Combine like terms: 4 + -8 = -4 14 + -2y = -4 + 10y Solving 14 + -2y = -4 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 14 + -2y + -10y = -4 + 10y + -10y Combine like terms: -2y + -10y = -12y 14 + -12y = -4 + 10y + -10y Combine like terms: 10y + -10y = 0 14 + -12y = -4 + 0 14 + -12y = -4 Add '-14' to each side of the equation. 14 + -14 + -12y = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -12y = -4 + -14 -12y = -4 + -14 Combine like terms: -4 + -14 = -18 -12y = -18 Divide each side by '-12'. y = 1.5 Simplifying y = 1.5
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